{
 "cells": [
  {
   "cell_type": "markdown",
   "source": [
    "Chapter 11\n",
    "# 设置三维图像观察视角\n",
    "Book_1《编程不难》 | 鸢尾花书：从加减乘除到机器学习"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "outputs": [],
   "source": [
    "# 导入Matplotlib的绘图模块\n",
    "import matplotlib.pyplot as plt"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-07-10T14:43:27.504756Z",
     "end_time": "2024-07-10T14:43:28.128921Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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NCjwklE3tXC4XOa1XV1dDKpWu6M8XCASIjo5GdHQ0cnNz4XK5SBah0+ngdrt9auP52stBCRxOYhQIBFi/fj1Ylp1TYuTmP9AsYjY0KPAMf6Z2ExMT0Ov1SElJQV5eHm/flDabDTqdDjKZDFVVVbzoMZBIJEhOTkZycjLpsDWZTOjr60N9fT2io6N9OmxpFhEeCAQCREZGzisxqlQqckCQy+UBmfhxdxZ8/SwuhuB/aikEfxVGw8PDMBgMyM/PR1paWrCXOCdTU1PQ6XRISEhAQUEBLzdX7w7bvLw80mFrMplw6tQpAPCZGUAJH85GYlytJn40KPAEj8cDq9UKl8tF3mRdXV3o7u7mvamdyWRCQ0MDcnJykJGRETIfjJkdtpOTkzAajeju7oZer4dEIoHdbodKpSI+PZTQ50wSo8fj8TkcnMkKPNzsN2hQ4AFutxvT09PweDwQi8VgWRbNzc0wmUy8N7Xr6+tDe3s7SkpKkJiYGOzlnDUCgQCxsbGIjY1FQUEBHA4Hamtr4XQ68eWXX5KqF642nq+X/JTAmU9ibGhoQHR0NPnbcxJjOJv40aAQZLxN7cRiMTweD+rr6+F0OnlvatfW1oahoSFUVFQgJiYm2EtaUqRSKRQKBSIjI5GTk0OyiI6ODuh0OsTExJC7iOjo6JD60FPmJhCJMSEhYUEmfna7HQzD+A0ofIQGhSDBmdrZbDYApzVPh8MBrVYLqVTKm4taf3g8HjQ0NMBqtaK6ujrs+wCEQiHx6SksLITdbicD7js6OiAWi32yCGoFHj6cSWL0PhzMZeI3MjKCsbExlJeXk4AgFot5+/nm56rCnJmmdkKhEBaLBVqtFmq1GoWFhby8qAVOm9pptVqIRCJoNJpVuQHKZDKfDtvx8XHSPKXVahEXF0f0aG+fHkpo409inGniN1Ni9A4S3GeaYRiSUfARGhRWGJZlMTw8DLvdTqocuIva7OxsZGZm8nYT4UztYmJiUFJSwtvAtZIIhUKoVCqoVCoUFxfDarWSjaK1tRURERE+tfF8PR1SAkcqlSItLQ1paWlgGGZOidHlcoXUnBD6Dl1BuJLTwcFBOJ1OqFQqYmpXUlKCpKSkYC9xTjhTu/T0dOTk5ITMG3ylUSgUyMzMRGZmJumwNZlMMBgMsNlsc3bYUkKb+SRGo9EIAKivryclr3zOsGlQWCG8Te24E3ZbWxsGBweJqR1fGRwcRHNzMzG1oywMbxO/kpISTE9PE5+e5uZmyOVyIjfEx8fztkudEjjeEmNnZydGRkYgFovR2toKh8OBrVu3BnuJc0KDwgow09SOmzolEAig0WigUCiCvUS/sCwLp9OJ1tZWrFu3DvHx8cFeUkgTGRmJyMhI0mHLuX02NDSQzJG7i+Dre4ISOAKBABERESguLkZxcTFsNhuvpVcaFJaRuUzthoaGwDAMNmzYwNt6d4Zh0NfXB7fbjfXr1y+7qd1qQywWIzExEYmJicQKnBtL2tTUBIVC4WMFzudNhBIYfP3Mc9CgsEz4M7WzWq3QarUQi8WIjo7m7ZuDc2N1OByQyWQ0ICwz3lbgOTk5cLvdpDaeM/FTqVSIi4sL9lIpqwAaFJaBuUztdDod0tLSIBAI4HA4gr1Mv3BurHK5HLm5uejq6gr2klYdYrHYp8PWbDaTLAIAjh8/TrKI2NhYmkVQlhQaFJYYf6Z23PSxgoICpKWlobOzM9jL9MvU1BS0Wi2SkpJQUFCA0dHRYC9p1SMQCKBUKqFUKpGRkYGjR48iNzcXJpMJdXV1YBiGDJ1JSEhYcatySvhBg8ISMp+p3VJPH1tqjEYjGhsbkZubi/T0dFoqyWOSk5NJh+3U1BSMRiN6e3tRX18PpVLpYwVO/46UQKFBYYnwZ2pnMBgwNjbGe1O73t5edHR0oLS0FAkJCcFeDmWBePv05OfnE58eo9GIkydPAoDPQCG+3mFR+AUNCkuA0+mEzWbzMbXT6/VBmz62UFiWRWtrK4aHh1FZWQmlUhnsJVEWgbdPj3eHbVdX1ywTP2+fHgrFGxoUFsF8pnZ8mj7mj9Vmarfa8Ndhy2URnZ2dPo111MSP4g0/d6wQwF+Fkdlshlar5fX0MQBwOBzQ6XSr2tRutSGTyZCeno709HRi4mcymdDW1gatVovY2FgSJKiJ3+qGBoWzgGEYEhC4CqNQMbWzWCzQ6XSIjY1FcXExbwMXZfnwNvErKiqCzWYjPj3t7e0Qi8U+WQRfs13K8kD/2gHir+Q0VKaPjY2Nob6+npraUXyQy+XExI9hGGK/0dzcTEz8uAvryMhI+r4Jc2hQCAC32w2r1Qq3201OT62trSExfYwztSsqKkJKSkqwl0PhKdxMALVaTUz8vK3ApVKpjxU4JfygQWGBzBybyTAMGhsbYbFYeG9q19nZib6+PmpqRwkYzsQvKyuLWIFzPS0OhwNSqRQymQxWq5W3nwFKYNCgcAY4p1CbzQaWZSEWi+FyuaDT6SAQCFBdXc3bi1qGYdDU1ITJyUloNBpERkYGe0mUEMa7Yokz8WtsbMT09DQ+/vhjyOVynyyC3leFJjQozAPLsrBYLHA4HBCLxT6mdkqlEiUlJbz1wOdM7TweDzQaDW97JSihCWfiFxMTg6ioKBQWFmJ0dBRGoxH19fVwuVxQqVTkLoKWPIcONCjMAVdy2tTUBIlEgvz8fDJ9LC0tDbm5uby9cONM7RQKBcrLy3kbuCjhg1gsRlJSEpKSkshhymg0YnBwEE1NTYiMjCSd1dQKnN/QoOAH7woj4PSpiDO14/v0scnJSeh0OmJqx9fAZbfb0dHRgaioKGqtEWYIBAJER0cjOjoaubm5cLlcJIvQarVgGMZnoJBMJgv2kile0KAwA29TO67CaGJiAn19fbw3tXM6nairq0Nubi4yMjKCvZw5YVkWX375JeLi4mCxWIg9t8fjweDgINRqNW/vaSiBI5FIfKzAORO/vr4+NDQ0kIMBZ+JHs4jgQoOCF/5M7SYmJuB0OqHRaHg7bIZlWYyNjcFisaCsrIzXJ++JiQm43W7k5uYiNzeXVHINDAygsbERHR0dpLmO06Ojo6N5m/FQAmM+E79Tp04BAMkiEhISqIlfEKBB4f+YaWrndrtRX18Pt9uN5ORk3gYEhmHQ2tqK0dFRYpvMV/r7+9He3g6RSITs7Gyy0QuFQiiVSohEImzevBl2u50MuO/o6CAdtlz9PO2wDR+8TfxYliUmft3d3dDr9dTELwis+k+XP1M7u90OnU4HmUzG6zZ/t9uNhoYG2Gw2ZGVlYWJiIthL8gvLsmhvb8fAwAAKCwvR3t4+79fLZDJkZGQgIyOD+PRwzVNarRZxcXFko6AdtuGDQCBAbGwsYmNjUVBQAIfDQew3urq6SGMdZ79Bs4jlgZ+73Qrhz9RuamoKOp2OmNq1tLQEe5l+4dxYJRIJNBoNjEZjsJfkF4/Hg6amJpjNZlRXV8Pj8QT0/d4+PcXFxbBarT4dthERET618XwN4JTAkUqlPiZ+ExMTJHucaQVOJcalY9V+guYztcvJyUFGRgZv32QWi4WcmPlsaud0OqHT6QAAGo0GERERMJvNi3pOhUJBfHq8O2ybmprgcDhmZRGU8EAoFCI+Ph7x8fEoKiqaV2JkWTbYyw1pVmVQ8Gdqx00fCxVTu4yMDB9dnm9wTX7R0dHL1uQ3s8PWarWSjaK5uZl02KrVasTHx9N+jTBiPokRALRaLZKTk6FWq6kVeICsuqAQyqZ2AwMDaGlp4b2p3cTEBHQ6HVJTU5GXl7ciH0iBQEB8erKzs+F2u0kW0dDQAKfT6VMbT316woeZEuOhQ4eQkJCAsbExKjGeBavqt+PP1C4Upo+xLIuOjg709/ejvLwccXFxwV7SnHBNfgUFBUhLSwvaOsRiMRITE5GYmEg6bE0mE4aGhtDU1ASFQkE2CtphG14IBAKkpqYiPz9/lsRot9sRHx9PJcZ5WBVBYS5TO61Wy/vpY6FiaseyLLq7u9Hd3c27Jj/vDtucnByfDludTge3203KXRMSEmiHbRixEImR+7tTifE0YR8UWJaF3W6H3W4nFUac3h0TE4OSkhLenhI5N1aWZVFdXc3bEjyGYdDc3IzR0VFUVVUhOjo62Eual5kdtmazGUajEf39/WhsbCQdtg6Hg8pMYQSVGBdGWAcFfyWnnKkd36ePWa1W6HQ6REZGorS0lLcnGLfbDb1eD5fLherq6pA7ZQsEAiiVSiiVSuTl5cHpdJIsYnx8HOPj47BYLGSjoG6z4QOVGP0TtkGBqzByuVwQCoUQCoVk+liomNolJycjPz+ft4HLbrdDq9VCKpWiqqoqLC7wIiIikJKSgpSUFCI1SqVS9PT0QK/Xk65xzqeHr38bSmAsRGL0tt8ItcNPIIT+p9gP/kztOjs70dvby/vpYyMjI2hqakJeXh7S09ODvZw5MZvN0Gq1UKvVKCwsDMtTlEAggEwmQ15eHvLz8+FwOEjjXE9PDwD42G/wVd6jBM5CJEbuLiI2Njas3v9hFxT8mdoZDAaMj4+jqqqKtx5GLMuit7cXnZ2dWLNmDdRqdbCXNCdck192djYyMzNXzWlZKpUiLS0NaWlpYBiG+PR0dnb6+PSo1Wrq0xNGzCcx1tbWgmVZn0KFUJcYwyoo+DO146aPVVdX8/aPxZnaGY1GVFZWQqlUBntJc9LX14f29nYUFxcjKSkp2MsJGkKhEHFxcYiLi0NhYSHsdjvJIrgOW2+fHr5Wt1ECZ6bEyB0Oent7UV9fP0tiDDXCIihwpnac5puSkkL0boVCgXXr1vFW7+ZM7ex2O68valmWRVtbG4aGhlBeXo7Y2NhgL4lXyGQyH5+e8fFxmEwmtLW1QavVIjY2lmwUtMM2fPBn4jdTYuT6n5xOZ0hIjPzcKQOAqz02mUyw2WyIiooiejffp4/NNLXja+DyeDxobGyExWKBRqNZtaV6C8W7w7aoqAg2m43Uxre3t0MikfhkEXz9u1MCx5/E2NbWhsnJSRw9ehSxsbFQqVQoKCgI9lLnJCzejaOjo8jOzsahQ4dgsVjQ3t7O++ljLpcLX375JTH44utFFcuyqK2thUAgIKZ2lMCQy+U+Jn6cT09zczNsNhvpsFWr1dQKPIzgJMaEhASIxWKUlJTAZDJhcnKSt593IEyCAofNZsPg4CDWrl3L62EzVqsVo6OjyMnJQVZWFm83AbvdDpvNhoSEhGUztVttiEQicilZUlKC6elpIje0tLRAKpX6+PTQ33n4wEmMfPYtA8IkKLjdbgDA9PQ0SkpKeB0Q+vv7MTIygpiYGGRnZwd7OXMyPj6O9vZ2iMVirFmzhreBK9ThOmyzsrLg8XgwOjoKk8mExsZGOBwOH58eKjNRVoKQf5dNT09j+/btAE5LHaFgapeUlMTrTZYztUtJScHExASv1xpOiEQinw7b6elpGI1GjIyMwGAwkPf26OgoVCoVryUISugS0kFhcHAQl19+OSn342uGwE0fm5qagkajwcjICOx2e7CXNQuWZdHV1YWenh6UlZWBZVnejvgMdwQCAaKiohAVFYWcnBy43W4MDw9Dr9eT2eEqlYpcWPP1MEQJPUI6KNx7770oLS3Fww8/zNvbfKfTCb1eHzKmdmNjY9BoNIiKioLJZAr2sij/BzdZDADOP/984vY5ODiIpqYmREZGEpkp3DpsKStLSAeFPXv2QCaToa+vL9hL8QvnxhoVFRVSpnZ8bfKjnMbbpyc3N9fHp6eurg4Mw/i4ffK194XCT0I6KCgUCt7OY+VM7VJSUlZs+tjZYLPZoNPpIJPJwsbUbrUx06dnamqKdNg2NDQgOjrax6eHr+9FCj+gO8AyMDw8DIPBwHtTu6mpKeh0OiQkJKCgoIBKDmGAQCBATEwMYmJikJ+fD6fTSUpeT506BQAkQFATP4o/FrULfPTRR7j88suRmpoKgUCA995774zfc+zYMVRVVUEqlSI/Px+vv/76YpbAK7jpYwaDAWvWrOF1QDCZTKitrUVmZmbYupxSTvv0pKamory8HF/5yldIR3pXVxeOHj2KEydOkI5bvmbdlJVlUZnC9PQ0ysvLsWPHDnzrW98649d3dnbisssuw+23347//u//xpEjR3DrrbciJSUF27ZtW8xSgg7DMGhpaYHJZOL99DHO1K6kpASJiYnBXg5lhfDn02M0GmEymdDV1QWhUOiTRVATv9XJooLC1772NXzta19b8Nfv2bMHOTk5eO655wAAJSUl+OSTT/DCCy+EdFBwu92or6+Hw+EIGVO7ioqKkHRwpCwdUqnUx8RvYmKCuLzqdDrExsaSIBEdHU3vIlYJK3qncOLECWzdutXnsW3btuH73//+Si5jSbHb7dDpdIiIiAgJU7vp6WlqakeZhVAoRHx8PPHistvtxMSPswLnSl6piV94s6J/2aGhoVke/ElJSZiamoLNZgu5BhzOjZVzw+SrLu90OqHT6YipHZUFKGdCJpMhIyMDGRkZxAqc82eyWq3E6M3pdPL2fU85O2i4P0tGR0dRX1+PrKwsXpvaTU9PQ6vVIiYmBiUlJfQDTAkYbyvw4uJiYlXP3Udw7ynOxI9mEaHNiv71kpOTMTw87PPY8PAwlEplSGUJ/f39aGtr4/30sfHxcej1eqSlpSE3N5e3gYsSWigUCmIF3tTUBKvVCoFAgKamJmLix91FREZGBnu5lABZ0aCwceNGHDhwwOexf/zjH9i4ceNKLuOsYVkW7e3tGBgY4P30scHBQTQ3N6OwsBCpqanBXg4lTBEKhZDL5SgtLSUDr7i7iObmZsjlclLNRK3AQ4NFBQWLxYK2tjby352dnairq0N8fDwyMzNx//33o7+/H2+88QYA4Pbbb8dLL72EH/3oR9ixYweOHj2KP/3pT9i/f//iXsUKwJnamc1mVFdX8/ai1tvUbt26dYiPjw/2kubE4XBAJpNRSStMEAgExAo8OzsbbrcbY2NjMBqNaGhogMvl8hkoxNfP0GpnUUHhyy+/xIUXXkj+e9euXQCA7du34/XXX8fg4CCZUwoAOTk52L9/P+655x784he/QHp6On7729/yvhzV4/GgtrYWAHg9fYxlWTQ1NWF8fJyY2vERlmXR09ODtrY2MuA+KiqKNk+FGWKx2McK3GKxwGQyYWhoiJj4cTJTXFwcPRzwhEUFhS1btsz7QfbXrbxlyxaywYYC3GknPj6e19PHPB4PzGYz3G43r03tWJYFwzDo6elBTU0NhEIhjEYjhoaG4Ha7ceLECbJRxMTE0HuQMMHbxC8nJ8fHxE+n08HtdpOJdAkJCbzt9VkN0DKBeeCaeaKjo3k9fcxms6G7uxsCgQCVlZW8rf5wu91obW0FwzAkkxGJRIiNjUVSUhI+//xzZGZmwmg0oru7m3TYcv/wNUOjBM5MEz+z2Qyj0Yj+/n40NjYiKiqK9EXExMTQLGIF4efuwQOGh4fR1NQEpVLJa2dJztROoVBAIBDwNiA4HA5otVqyRn/VZgKBAGlpaUhLSwPDMJicnITRaERnZyf0ej1iYmLIRkE7bMMHgUAApVIJpVKJvLw8OJ1OkkWcOnUKLMv62G/wNQsOF/i5gwQRztSuu7sbZWVlMBqNwV7SnBiNRjQ2NiInJwcikYi3a7VYLNBqtYiLi0NaWhp0Ot0Zv0coFCIuLg5xcXEoLCyE3W4ntfFchy23UahUKtqQF0ZEREQgJSUFKSkpYFmWHA56enpQX1+P6OhonyyCHg6WFhoUvPCePsaZ2vF1o+3t7UVHRwcxtRsYGAj2kvzCNfllZmYiOzsbFovlrJ5HJpP5+PRwHbZtbW3QarWIjY0lG0VUVBTdKMIEfyZ+3OGAK2LhMggqMS4NNCj8H97TxzQaDW8vuliWRWtrK4aHh3lvajcwMICWlhYUFxcjOTl5yZ7Xu8MWgE+HbVtbGyIiIkiAoB224YVUKj2jxMjdUcjlcno4OAvopwWnTe20Wi2kUimvp495PB40NDTAarWiurqat13gLMuio6MD/f39KC8vR1xc3LL+PO8OW4/Hg7GxMZhMJhgMBthsNlIbn5CQQO5eKKHPXBLjxMQEdDodlRjPEn7ufisIZ2qnVqt5PWzG4XBAp9NBJBLx2tSOa/KbmpqCRqNZcZsDkUhEAkBJSQmmp6eJR09LSwtkMhnZKGiHbXjBSYwNDQ3YuHEjkZqoxBgYqzoomEwmNDQ0IDs7G5mZmbx9k4SKqZ3L5YJOpwPLsqiuruaFvjtfh63T6YRKpSJBgnbYhg/eEmNRURFsNhux32hvb4dEIqES4xys2t8EN32M76Z2Y2NjqK+vR3p6OnJycngbuKxWK7RaLaKiolBaWsrLE/jMDlsui+BmaisUCrJRLLfkRVlZ5HK5j8TIFSrMlBjVajUiIyN5+zlbCVZdUOBM7QYHB0PG1K6oqAgpKSnBXs6cTE5OQqfTITk5Gfn5+SHxgRIIBIiKikJUVBRycnLgdrtnddhKJBK43e6QnPVBmRuRSESqlTiJkStUaGlpgVQq9cki+HjAWU5WVVDgpo9ZLBZeTx9jWRadnZ3o6+vjvandyMgImpqakJeXh/T09GAv56wRi8VISkpCUlISqV7R6/WYmprCRx99hMjISLJRxMbG8lbCowQOJzFmZWXB4/FgdHQUJpMJjY2NxArcu1Ah3Fk1QcF7+lh1dTVvL2oZhoHBYMD4+Diqqqp4b2rX1dWFNWvWQK1WB3tJSwbXYRsdHY3IyEhkZmaSk2RdXR0YhvHx6aEdtuGDSCTyKzGOjIwQidG7UCEcDwerIihwF7VKpZLXpnYulwt6vR4ej4fXpnYMw6ClpQUmk4k0+YUzEonEp8N2amoKRqMRvb29qK+vh1KpJHo0ny1RKIExn8So1+vhdruhUqnI3z5cJMawDwqhMn3MZrNBq9VCoVCgvLyct4HL7Xajvr4eDocD1dXVvG3yWy4EAgFiYmIQExOD/Px8OJ1OkkWcOnUKAHx8evhQgUVZGmZKjBaLBUajEQMDA2hsbAwbiTGsg8LQ0BAMBgPvp49NTU1Bq9UiKSkJBQUFvA1cnKmdRCKBRqOhZXw47dOTmpqK1NRUsCyLiYkJmEwmdHV1Qa/XkywiISEBSqWSt39bSmB4W4Hn5ubC5XLBZDLBZDIRiZHLItxud7CXGxBh+an2nj5WVlZG7BD4CGdql5ubi4yMjGAvZ07MZjN0Oh3i4+NRVFQUsqeg5UQgEJAO24KCAh8Tv66uLmIFzmURfL3XogTOfBLj5OQkxGIxWltboVareS+3hl1QYFkWBoMBY2NjITF9rLOzE6WlpUhISAj2kuaEM7XLyspCVlYWPe0ukJkmftx8jvb2duh0OtphG6bMlBjb2towMjICq9WKU6dOQSgU+kys5BthFRQYhkF/fz+EQiGvL2q5k8To6CgqKyuhVCqDvaQ54S6/l9rUbrUhFAoRHx9PMi2bzUayiPb2dojFYhIgVCoVlebCCG5+SHl5Ofns8znTDqt3ntlsRnx8PK9N7dxuN4aHh+FyubB+/XreViywLIvBwUE4nU5UVVXxuskvFJHL5cjIyEBGRgYYhiH2Gy0tLbBarYiLiyNBYrV32IYTXEUTn+Hnzhkg//rXvwCcHp+5du1a3gYEztSOZVmoVCreBgTO1G5ychJyuZwGhGXGe+wocNoyhDPxa21tJR229O9AWQn4uXsGwL59+3DzzTcDADIyMnh7ovKePiaTyeBwOIK9JL84nU7o9XqwLIv8/Hx0d3cHe0mrDoVCQe5vOCtwLosAgJMnTyIxMZH49FAoSwl/ha0F8Morr+D666/Hs88+CwC81enGxsZw6tQppKamoqSkhLeBy2q14uTJk4iIiEBlZSVvM67VBGcFXlpaio0bNwI43QcxMjKCTz75BB999BGamppgMpng8XiCvFpKOBDSn/qYmBj8/e9/57XnDjd9jO+mdhMTE9Dr9UhJSUFeXh5vA9dqhvubZGVlkQ5bLouor6+Hy+Xy8enhqzxJ4TchHRRuuOEGsCyL3t7eYC9lFt6mdisxfWwxDA8Po6mpCfn5+bwOsBRfZlqBcx22g4ODaGpqQmRkJOmLiIuL420mTeEXIR0U+ArDMOSiNhjTxxYKy7Lo7u5Gd3c31q5dG1amdqsNfx22M63AvRvnVps9CWXhLMnR4eWXX0Z2djZkMhk2bNiAzz//fN6v3717N4qKikhZ3j333AO73b4USwk6LpcLdXV1ZI4yXwMC58ba19eHqqoqGhDCDIlEguTkZJSVlWHLli3YsGEDlEol+vr68OGHH+LTTz9FS0sLxsfHwTBMsJdL4RGLzhTefvtt7Nq1C3v27MGGDRuwe/dubNu2Dc3NzUhMTJz19W+99Rbuu+8+vPbaa9i0aRNaWlpw8803QyAQ4Pnnn1/scoIKNbWj8BHOClypVCIvL4+Y+JlMJmLi5+32ydemT8rKsOig8Pzzz+O2227DLbfcAgDYs2cP9u/fj9deew333XffrK8/fvw4Nm/ejOuvvx4AkJ2djeuuu470GoQqoTJ9zG63Q6vVQiqVUlO7VcpME7/JyUkYjUZ0d3dDr9cjJiaGSE0xMTG8fS9TlodF7QhOpxMnT57E/fffTx4TCoXYunUrTpw44fd7Nm3ahDfffBOff/45ampq0NHRgQMHDuDGG29czFKCCjd9LBRM7bRaLRlmTi8eKQKBALGxsYiNjUVBQQEcDgex3+ju7vYx8VOpVNQKfBWwqKDA1UbPHHyflJQEg8Hg93uuv/56mEwmnHvuuWBZFm63G7fffjseeOCBxSwlKHCVT6FgamcymdDQ0EBN7SjzIpVKkZaWhrS0NDAMQ7KIjo4O6HQ6xMTEkJJXvrt9Us6OFdcOjh07hscffxyvvPIKNmzYgLa2Nnzve9/Dz372Mzz00EMrvZyzhmEYtLa2wmg08t7Urq+vD21tbSgpKZkVwCmUuRAKhcQKvLCwEHa7ndhvdHR0QCwWQyKRQCaTweVyUSvwMGFRQUGtVkMkEmF4eNjn8eHh4TkdNR966CHceOONuPXWWwEAZWVlmJ6exne+8x38+Mc/DglJw+12o6GhAXa7HRqNhrdNQizLor29HQMDA6ioqKDeOZRFIZPJfEz8xsfH0dLSgsnJSRw9epSY+KnVamoFHsIsKihERERAo9HgyJEj+MY3vgHg9An6yJEj2Llzp9/vsVqtszZ+rkqHZdnFLGdF8J4+VlVVxdvTkcfjQWNjIywWC6qrq6FQKIK9JEoYIRQKoVKpEB8fj5iYGGRnZ5O7iNbWVkRERBCZKT4+nhY0hBCL/kvt2rUL27dvR3V1NWpqarB7925MT0+TaqSbbroJaWlpeOKJJwAAl19+OZ5//nlUVlYS+eihhx7C5ZdfztsSTg5vU7vi4mLeZjVOpxM6nQ4CgQAajYZeDlKWHYVCgczMTGRmZhITP5PJBIPBAJvN5mO/oVAoaBbBYxYdFK655hoYjUY8/PDDGBoaQkVFBQ4dOkS0656eHp/N88EHH4RAIMCDDz6I/v5+JCQk4PLLL8djjz222KUsK9z0sczMTGRnZ/P2TT09PQ2tVgulUomSkhLeBlqXy4X29nZERUXx+oKeEjiciV9CQgJKSkowPT1N7iJaWlogk8lIRVN8fDxv36OrlSXJ6Xbu3DmnXHTs2DHfHygW45FHHsEjjzyyFD96RTCbzejt7eX99DGXy4WTJ08iNTWV16Z2LMvi5MmTkEqlmJqaQmNjI+RyOTlhxsbG8jYLowROZGQkIiMjkZ2d7WPi19DQAKfT6dM4R2XO4EOFvnngRudZrVbem9pNTk7CbDajqKgIaWlpwV7OnFgsFrjdbiQnJ6O4uBhisRgulwu9vb1obW1FXV0dGIbx8emhHbbhw0wTPy6LGBoaQlNTExQKBckyqIlfcKBBYQ646WM2mw3Jycm8DQicqd3w8DCioqJ4HRCMRiOam5shFApRWFhIMhmJRAK1Wo3Ozk5ceOGFmJqagtFoRE9PD+rr6xEdHU02CtphGz5woymjoqKIFfhMEz8ui0hISKB2LCsEDQp+cLlcZGymWq3mbYURwzBobm7G2NgYMjMzMTU1FewlzUlvby86OjqQm5s77zQ3gUCAmJgYxMTEID8/n/j0GI1GnDx5EgB8sgh6iR4+iMViJCUlISkpCSzLwmw2w2g0YmBgAI2NjYiMjCQBgkqMywcNCjOwWq3QarWIiopCaWkpWltbg70kv7jdbuj1erhcLmg0GoyNjfEyKLAsi9bWVgwPD6OyshICgSCgEZ8zfXomJiZgMpnQ1dVFfHq4AKFUKmkWESbMNPFzuVzkcOAtMXIHBCoxLh00KHgRiqZ2VVVVvK0B93g8aGhoIDbicrkcZrP5rJ9PIBCQDtuCggLY7XayUXR2dkIoFJKTpEql4m2GRwkciUSClJQUpKSkkLs+o9GI3t5e1NfXQ6lUkr99KPQ78Rl+7iZBgDO1y8vL4/X0Mc7UTq1Wo7CwkLcptMPhgE6ng0gkgkajWZYNWiaTIT09Henp6WAYBhMTEzAajWhra4NWq0VsbCzZKGiHbfiwEInRYDAgOTmZSoxnwaoPCizLoqenB11dXVizZg2vh81wpnbZ2dnIzMzk7SYXjCY/oVCI+Ph4xMfHo6ioCDabjWwU7e3t5DKbyyL4ml1RAmemxHj48GHIZDIiMXpnEVRiPDOr+pPhbWpXVVXFa9dHztSutLTU7/AivjA2Nob6+nqkp6cjJycnaB9Abqof59PD1ca3tLTAarUiPj6eBInIyEi6UYQJAoEAAoEA2dnZUCgUPhJjV1cXlRgXwKoNCt6mdnyePsayLNra2jA0NITKykrExMQEe0lzMjg4iObmZhQVFSElJSXYyyFwMwG4LNBqtcJoNBKfHqlU6uPTQztswwcqMQbOqgwK3qZ2fJ4+5m1qp9FoeNvtybIsOjs70dfXh3Xr1iE+Pj7YS5oXhUJB5kpwXdRGoxGNjY1wOBzEp8ftdgd7qZQl5EwSo1gs9ski+LovLDer7lWbzWbodDryxuDrRa23qV11dTVv01yGYdDU1ITJyUloNBpERkYGe0kB4e3Tw3XYmkwmjIyMYHR0FOPj43A6nSSL4Ov7hRI4VGL0z6oKCpypHd+nj4WSqZ1er4fH44FGown5WnHvDtvs7GzU1dVBIBDA4/Ggvr4eLpcLKpWKbBR8naNBCZyFSoxqtRoqlYq3n8mlYNUEhf7+frS2tvLe1G58fBx6vR5paWnIzc3lbeCy2WzQarVQKBQoLy8Pyw+JUChEZGQk8vLywLIsLBYLjEYjBgcH0dTURDtsw5i5JMampiYfiZGzAg8nwj4ohNL0saGhIRgMBhQWFiI1NTXYy5mTUGnyW0oEAgGio6MRHR2N3NxcuFwu4tOj1Wrh8Xh83D75WrhACZz5JEaDwQC5XO5j4hfqB6SwDgqcqd3U1BSv9W6WZdHV1YWenh6UlZVBpVIFe0lzwjX55ebmIiMjI9jLCRoSiQTJyclITk4mHbYmkwl9fX1oaGhAdHQ0kZliY2NXReBcDcyUGL1N/DiJ0TuLCEWJMWyDgtPphF6vB8uyqK6u5m1XI8MwMBgMGB8fh0ajQVRUVLCX5BeWZdHb24vOzk6UlpbSwTheeHfY5uXlkQ5bk8mEU6dOAYCP2ydf34uUwJlp4udPYoyIiADLsmAYJiQkxrAMCjNN7fiazrlcLnK6qK6u5u1FrXeTX2VlJZRKZbCXxGtmdthOTk7CaDSiu7vbx8SPdtiGF3NJjJ2dnTCbzTh69ChUKhVUKhUyMzODvdw5CbugYLPZcPLkSaSkpPB6+pjb7capU6cgk8l4bWrHsiz0ej3sdjs0Gk1IpsPBRCAQIDY2FrGxsSgoKIDD4ZjVYettBc7X0mNK4HASo91uh1QqRV5eHskgs7Kygr28OeHnTnSWOBwO9PX1obCwkNfDZhwOB0ZHR5GSkoKCggLeppQul4u8oauqquiGtQRIpVKkpaUhLS0NDMOQLKKjowM6nQ6xsbEkSERHR/P2UEMJDG+J0ePx8PrvGhZBgWEYAKfr+/Pz83kdEDi9MSoqymf6GN+wWCxoa2uDUChEeXk5bwNXKCMUCokVeGFhIex2Oxlw39HRQTpsvevnKZTlJuSDgsvlwve+9z0Apy+X+XpRC/x7+lhCQgJEIhFvAwJnaqdSqWA2m2lAWCFkMplPh+34+DhpntJqtcT3ymKx0CyCsmyEdFCYmprC1VdfjZ6eHgDgbVOa9/SxiooKjI2NwW63B3tZfhkYGEBLSwuKi4shFothsViCvaRViVAoJJeSxcXFsFqtGBoawsTEBD777DNERET4mPjx9U6KEnqE9DvprrvugkAgwJ///GesXbs22Mvxi7/pY2NjY8Fe1ixYlkVHRwf6+/tRXl6OuLg4mEymYC+L8n8oFAqkp6ejpaUFF154IRlLajAYYLfbERcXR4IEX/txKKFBSAeFF154AUqlEkNDQ8Feil+cTie0Wu2yTh9bCkLd1G614d1hW1JSgunpaeLT09LSAplMRu4iqBU4JVBCOiio1WrezmPlTO1iYmJQUlLCW13e5XJBp9PxvsmPMjeRkZGIjIwkHbacT09DQwOcTqeP/Ua4+fRQlp6QDgp8hS/Tx86E1WqFTqdDZGQkr5v8KAtHLBYjMTERiYmJxKfHaDRiaGgITU1NUCgUPj49fD2sUILHkrwjXn75ZWRnZ0Mmk2HDhg34/PPP5/36iYkJ3HXXXUhJSYFUKkVhYSEOHDiwFEsJOoODg9DpdMjPz+e1y+nk5CROnjwJlUqFtWvX0oAQhnA+PTk5OaipqcFXv/pVFBQUwO12Q6fT4ciRI6itrUVvby9vCx8oK8+iM4W3334bu3btwp49e7Bhwwbs3r0b27ZtQ3Nzs99Zwk6nExdddBESExPx5z//GWlpaeju7ua1e+lCCKXpY5ypXV5eHtLT04O9HMoKIRaLfUz8zGYzjEYjBgYG0NjYiKioKB8TP5pFrE4WHRSef/553HbbbbjlllsAAHv27MH+/fvx2muv4b777pv19a+99hrGxsZw/PhxcvGanZ292GUEFW9Tu6qqKt72SrAsi56eHnR1dWHNmjW0IWoVIxAIoFQqoVQqiYkf5/ZZV1cHhmF87Df46stFWXoWFRScTidOnjyJ+++/nzwmFAqxdetWnDhxwu/3/PWvf8XGjRtx11134f3330dCQgKuv/563HvvvSEpYXhPH6OmdpRQJSIiAikpKUhJSSFW4EajET09PdDr9VAqleQuIiYmhreyKGXxLCoomEwmeDweJCUl+TyelJQEg8Hg93s6Ojpw9OhR3HDDDThw4ADa2tpw5513wuVy4ZFHHlnMclYcbvqYXC7HunXreNtA5Ha70dDQALvdjurqajoAhjIv3j49+fn5xArcaDTi5MmTAECyCI/HE+TVUpaaFd/FGIZBYmIifvOb35D6/f7+fjzzzDMhFRSmpqag1WqRlJSEgoIC3p6cHA4HtFotJBIJNBoNbwMXhb94W4F7m/h1dXVhamoKERERkEqlUKvV1Ao8DFjUDqFWqyESiTA8POzz+PDw8JyWEykpKZBIJD5SUUlJCYaGhuB0OkOiTt5oNKKxsRG5ublIT0/n7YfAYrFAq9UiPj4eRUVF9OKQsmhmmvg1NDRgenoaU1NT6OzshEgkIlmESqXibcMmZW4WtUtERERAo9HgyJEj5DGGYXDkyBFs3LjR7/ds3rwZbW1txNkUAFpaWpCSksL7gMBNH2tsbERpaSkyMjJ4GxBGR0dx8uRJpKWlobi4mAYEyrIgFosRFRWFyspKfOUrX0F5eTkiIiLQ1taGo0eP4l//+hc6OjpgNpt522hK8WXRWsKuXbuwfft2VFdXo6amBrt378b09DSpRrrpppuQlpaGJ554AgBwxx134KWXXsL3vvc9fPe730Vraysef/xx3H333YtdyrLibWrH94va/v5+tLa2ori4mLcmgcDpA0QoFhdQ/CMUChEfH08yU5vNRqzA29vbIZFIfLIIKmXyk0X/Va655hoYjUY8/PDDGBoaQkVFBQ4dOkQun3t6enxOqRkZGTh8+DDuuecerFu3Dmlpafje976He++9d7FLWTYYhoFer/cxteMjLMuivb3dx9SOr3AdtnK5nJi40ZNkeCGXy5GZmYnMzEwwDEPsN5qbm2Gz2ciAe7VajcjISN5m3auNJQnVO3fuxM6dO/3+v2PHjs16bOPGjfjss8+W4kcvOx6PByaTCQqFgvemdtPT07DZbLw2tWNZFh6PB83NzVi3bh2EQiGMRiPa2trIiFLuNMnX4EsJHG7sqFqtRklJCaxWq4+Jn1Qq9bECpxlk8KD52zxYLBaYTCbIZDJUVFTwVpd3Op3o7e2Fx+NBTU0Nb+9mGIZBV1cXGIZBTU0NYmJiIBKJkJSUhMnJSXzxxReIjY3F4OAgmpqaEBkZSTYK2mEbXigUCmRlZSErKwsej4dkEY2NjXA4HCSLSEhIoCZ+KwwNCnPAmdrJ5XLEx8fzdkOyWq3QarUQi8WQyWS8DQgulwv19fVwOBwQi8VQKBTweDzk9yoQCCAQCJCbm4vc3Fy4XK5ZHbbebp+01yJ88LYC9zbxGxkZgcFggEKhINkjnz+L4QINCn7gpo8VFRVhcnKSt1rnxMQE9Ho9UlJSIJfLYTQag70kv9hsNuh0OshkMhQXF0On08HtdkMgEIBlWYhEIrAsS/4RCASQSCQ+Pj1ch21fXx8aGhoQHR3t49PD178RJTA4Ez/OyM/tdpPDQX19PVwuF1QqFZUYlxEaFLzwZ2o3OTkZ7GX5ZXh4GAaDgZjaDQwMBHtJfpmamoJOp0NCQgIKCgpIaaLL5YJCoYBIJILH40FnZyekUinpkBUKhWSjn6/D9tSpUwBAsoiEhATeZkuUwBGLxUhKSkJSUhJYloXFYoHRaKQS4zJCg8L/ESrTx0LJ1M5kMqGhoQE5OTlkGD0nHf3rX/+CUqlEfHw8xsbGwDAMKisrSbbAMAyRlGYGCO8OW5ZlSYdtd3c39Ho9YmJiyEZBO2zDB4FAgOjoaERHR88rMbIsC4fDQe8izhIaFOBraqfRaHhtatfS0gKTyYSqqipER0cHe0lz0tvbi46ODpSUlCAxMREejwcejwdSqRQ1NTVwuVwYHBxEZ2cnPB4PRCIR2tvboVarfWrYWZYlUhO3uXNBgvsnNjYWsbGxKCgogMPhILXxXV1dpOqFu4vga/UYJXDmkhiHh4fJoYNKjIGz6oMCZ2qnUChQXl7O21I4t9tNLmr5bGrHsiza2tpIz0pMTAzcbjcYhoFQKIREIoFQKITD4UB3dzeSk5OJrGQymdDZ2Yn6+nrygVar1YiKiiL3D9w/gG9wAE6fJKVSKdLT05Geng6GYTAxMQGj0YiOjg7odDrExsaSjSI6OppuFGGCt8TY3t6Oc845h1xYcxKj9+GASoxzs6qDwuTkJHQ6He9N7ex2O3Q6HbEV4WsnqMfjQUNDA6xWKzQaDWQyGVwuF7lMFovFpC9Br9cjNzcXWVlZEAgExE+noKAAdrsdJpMJo6Oj6OrqIn463CB67vUzDEMupv1lETM7bO12O6mN7+jogFgsJpuEWq3m7e+VEjgSicSvxNjV1TXLCpxKjL6s2k8BN30sNzcXGRkZwV7OnJjNZmi1WqhUKl6b2jmdTmi1WgiFQmg0GohEIiL7iMViiEQiCIVC9Pb2orW1FWvWrJlluc4hk8lmnfY5qwS9Xk9O+9wg+plZhLe05J1FyGQyZGRkkPuN8fFxGI1GtLa2QqvVIi4ujmwUfL1TogSOP4mRK1SgEuNsVl1Q4EztOjs7UVpaioSEhGAvaU5GR0dRX19Pmnz4epqZnp6GVqtFTEwMSkpKAMAnIIjFYrAsi+bmZgwODqKqqmrB41e9T/uFhYWw2WwwmUwkSERERJASRa6G3fuiGsCcWYRKpYJKpUJxcTGsVivZKFpbWxEREUGey+120ywijJBKpUhLS0NaWhqVGP2wqt7poTR9jDO1KykpmfNEzQfGx8eh1+uRnp6OnJwcn4thziLd4/Ggvr4eFosFNTU1i6oKkcvl5LTv8XgwPj4Ok8mElpYW2O12xMXFkSxCLpcv+C5CoVAQnx6uw9ZgMMBkMuHIkSM+HbY0iwgfqMQ4m/B/hf8HN32M8wbia9MLZ2o3MDCAioqKBZ+og8Hg4CCam5tRWFiI1NRUUmHElY0KhUI4nU7U1tZCKBRi/fr1S3rB533XAJzOWEZHR2EymdDW1kYGv6jVasTFxZEAMfMuYuY/XIft4OAgFAoFUlJSyEbR3NxMTPy47ISvxQmUwAlUYgzHLGJVBIWZ08f4qhl6PB40NTXBbDajurqat3XWLMuiq6sLvb29pMnPX4XR9PQ0amtroVQqsWbNmmXfPCMjIxEZGelz2jeZTGhqaoLT6UR8fDwJElz1lj+paWZfBPe82dnZcLvdxKenoaEBTqfTx36Dr38zSuAsRGL0NvELlywiPF7FPHDTx+Li4ng9bMbpdEKn00EgEECj0fC2ZI5hGBgMBoyPj6OqqgoKhYIEBO8Ko7GxMWi1WmRkZCAvL2/FT1T+/HRMJhOGh4fR3NwMhUJB7iK8swhO/gJO/03kcrlPI51YLEZiYiISExNJh63JZCJW4AqFgvzcuLg43r7fKIHjT2I0Go1oamoiJn7cXUQoS4xhHRS4i9rMzExkZ2fzNtXjTO2io6NRUlLCWznCu8mvuroaEomEbKDeAWFwcBCNjY0oKipCenp6kFft66fDnfZHR0cxOjqKhoYGuN1unyxCIpGgpaUFU1NTyM/Ph9vtJpv7zCyC67DNycnx6bDl/J2450xISOBtbwklcGYeOrytwGdKjN5TJkOBsA0K3qZ2KSkpwV7OnExMTECn0yE1NTUoJ+qFwjX5yeVyMgeBu1AWiUSQSCRgWRYdHR3o7u5GRUUFVCpVsJftF39+OiaTifjpcOWzxcXFRDdeiP3GzA5bs9kMo9GI/v5+NDY2IioqyqfDlmYR4cGZJEaHwwGJRIKenh6o1WreOiZwhF1QCLXpY83NzcjPz0daWlqwlzMnU1NT0Gq1SExMRGFhod8KI847amxsDNXV1by24PDG+7SfkpKC2tpasCyLqKgoNDc3o6mpichMKpWKyHrcsCCWZefMIpRKJZRKJfLy8uB0OkkWwf0M79p4vm8UlIUzU2JsaWmB0WgkEmNkZCTOPffcYC9zTsIqKLAsi6GhIbhcLt6b2lksFoyMjGDt2rW8PVEDp6u2amtrfUztuAojLiC4XC7odDq4XC6sX78+JGUSs9mM2tpaqFQqlJSUkB6FqakpmEymWZbdarUaMTExC84iIiIikJKSgpSUFJ8O256enlkdttzzUkIfznolMjISlZWVcLvdGB8f53WWGFZBwWw2Q6lUorq6mtcXtSaTiVhB8PlEbTKZ4HA4sHbtWh9TO+8KI5vNhtraWsjlclRXV4dkBcbo6Ch0Oh2ysrKQk5Pj17Lb+7RvMplQW1sLgUDgk0VwVW3zmfhxzztXh21PTw8A6tMTrojFYsTHxwd7GfMSep9gPzQ3NwM4rc+Xlpby9kPkdruh1+vhdDqhVqt5GxBYlkVrayuGh4chk8mQmJjot+R0cnISdXV1SExM5LUFx3z09fWhubkZpaWlZ7x78j7tMwxDsoju7m7U19cjJiaGZBHc33Zm45y/LGJmhy2XRXR2dvpYgfO5Z4USPoR8UDh+/Dj+4z/+AwCQmprK243JbrdDq9VCKpUiJSUFTqcz2Evyi7epXX5+Pvr6+vya2o2MjKC+vt7H1C6U4Nxc+/r6UFlZGfDpTSgUktN+fn4+Oe1zQYKrcQ/UClwoFBJzwMLCQmIOyHXYAkB9fT0SExN9shMKZakI6aDwzjvv4JZbbsG9996Lhx9+mLfSBWdqp1arUVhYiO7u7mAvyS8OhwM6nQ4ikQgajQYTExPkhCsWi8kG1NPTg7a2tnlN7fgMF/impqZQU1OzJHdP/vx0RkdHiRW4dxYxs6JpPvsNb3NAu92OY8eOISIiAm1tbdBqtYiNjSV3EZzFOIWyGPi5iy6Q/v5+/M///A/Ky8vx8MMPB3s5fuGmj2VnZyMzM5O3H1qLxQKdTudjaicQCEgPRUJCAlQqFQYHBzE0NBSQqR2f4NxcWZZFTU3NskiN3n46BQUFsNls5C6io6MDEonExwrc28SPY64sAgAKCwtRXFwMm81GauPb29vJ83J/K74ekij8JqTfNd///veJ6ykf6evrQ3t7O4qLi3l9oh4bG0N9ff0sU7uYmBhs3ryZ+L+0t7cDABITE+FwOOByuUJKvrBaraitrUVUVBTWrl27Yk2CcrncxwqcM/FrbW2FzWZDXFwckZr8WYEDp4MDFzS4x+RyuU+HLfd3am5uhs1mIyZ+3tkJhXImQjoo8BV/08f4CmdqxzX5+TO1E4lE6OvrQ2xsLLKysjAxMUFmG3jLInyWLyYmJlBXV4fU1NSgDlTy9tMpKioifjreVuDeWYS3iV9/fz+ZU8H1R3ib+HHfV1JSQmw9jEYjWlpaIJVKfXx6+No1Twk+NCgsMR6PB42NjbBYLNBoNLw1SGNZFp2dnejr65vX1M5isaC2thaxsbFYs2YNhEIhaWI7kyzCF/lieHgYDQ0NKCgo4N1AJX9+OqOjo2hubobD4SBZBDeutKqqimQN891FcB22WVlZ8Hg85O/U2NhIfHq4IMHX9yglOCzJp/bll1/GM888g6GhIZSXl+PFF19ETU3NGb9v7969uO6663DFFVfgvffeW4qlBBVvUzvOG4iPcN3HExMTizK185ZFPB4PmZDmLYvMnJC2krAsi+7ubnR0dKCsrIzXA5UA/346IyMj6OzshMvlgkwmw/DwMDweDxlEv1ArcO8OW2528cjICAwGAxQKBbmL4O44KKuXRQeFt99+G7t27cKePXuwYcMG7N69G9u2bUNzczMSExPn/L6uri788Ic/xHnnnbfYJfACbvqYUqkMC1O7gYEBNDU1obi4eEEWHCKRaE5ZxHu2gUqlWhH5gnNzNRqNqK6u5vVAJX9wjqwjIyOIjIzE2rVrSbbQ0NAAl8s1pxU4989c9hucOWBOTg4xB+TmZrvdbnK/kZCQwNu5I5TlY9FB4fnnn8dtt92GW265BQCwZ88e7N+/H6+99hruu+8+v9/j8Xhwww034Cc/+Qk+/vhjTExMLHYZQYWbPpaWlobc3Fze6uqcqZ1CoUB5eTkEAoFfU7v29nb09PQsytRuLlnEYDDA6XTOyiKWErfbDZ1OB4fDgZqampDc2PzJdnK53K9lN2cFzv0+ObM9Tl7y7ovgAoW3FfhMc0Cj0UjMASMjI0n2Qk38VgeLCgpOpxMnT57E/fffTx4TCoXYunUrTpw4Mef3/fSnP0ViYiK+/e1v4+OPP17MEoLO0NAQDAYDmT7GVyYnJ6HT6ZCUlISCgoI5Te0aGxsxPj6O9evXIyoqakl+trcs4p1FcJegcrncZ0LaYjYeu92O2tpaRERE8FrCm48zyXb+LLu5gUJcFujdOMeZ7S3ExI973tzcXLhcLpLt1dXVgWEYn4FCoehxRTkziwoKJpMJHo9nVrllUlISDAaD3+/55JNP8Lvf/Q51dXWL+dFBh5s+1tPTg7KyMl6b2o2MjKCpqQm5ublktrE/UzutVgu3242ampplc+2ceQnK2Qxzsoj3bAOVShXQKd+fqV2oEahsBwASicTntM/JTJxlt7eJn1KpJFnEQqzAvU38pqamYDQa0dvbi/r6eiiVStJgx91pUEKfFS0PMZvNuPHGG/Hqq6+SubqhCMMwaG5uxtjYGDQazZKdqJcaroejs7MTpaWlSEhIOKOpXUVFxYpWDc01yWxwcBAGgwGRkZEkQMwnX5hMJuh0OuTk5PB6oNJccLMoFivbeVt25+bmEhO/0dFR1NXVgWVZkkVwA4W4n38mEz/OHDA/Px9Op5OU0RqNRhw9epSa+IUJi/r0q9VqiEQiDA8P+zw+PDyM5OTkWV/f3t6Orq4uXH755eQxriFHLBajubkZeXl5i1nSsuNyuVBfXw+Xy4Xq6mre+uAzDIPW1laMjIygsrISSqVyXlO7pKQkFBUVBXUzPZMswjCMz+Uq97sPxNSOjyyXbAdglmU3Z+LX29uLhoYGKJVKnywCwIKyiIiICKSmpsJsNsPtdiM1NRUmkwldXV2kM56TDLmMghIaLCooREREQKPR4MiRI/jGN74B4PQb/MiRI9i5c+esry8uLoZer/d57MEHH4TZbMYvfvEL3tWQz8Rms0Gn00Emk6Gqqoo3dfgzcbvdaGhogM1mI4FrPlO7vLw8XlpwnEkWiYqKgkgkgsViOStTOz6wUrIdMNsK3OFwkP6Fnp4eCAQCEiAWauLHPS9n4sdZgRuNRhIkhEKhTxYRivc8q4lF72q7du3C9u3bUV1djZqaGuzevRvT09OkGummm25CWloannjiCchkMqxdu9bn+zn/nJmP842pqSnodDokJCSgoKCAt3r1TFM7rgOWqzThPpDd3d1ob28nsxL4zkxZhHOdtVgsEAgE0Ol0fiek8ZlgynbAaRO/1NRUpKamEstuk8kUkIkfd3HtbQ0ulUp9bD0mJiaITYpOp0NsbCwJEtHR0bw7jKx2Fv0uvOaaa2A0GvHwww8TW4dDhw6Ry+eenh7ebqALhfPM4aaP8fVN7Ha78eWXXyIuLg7FxcXkMS4giMVisCyL5uZmDA8PQ6PR8NqCYy68mwTPPfdcSCQSsqFxsw1myiJ8+5vxSbYD4GPZXVBQQCy7OadXbxsNrlu9r68PfX19KCsrI+8z7rm8ZSfOHLCoqAg2m83HClwsFpMMQq1W8zb7Xk0IWC7EhyjcZWpWVhYOHTqEzMxMpKenL9nznzx5ElNTU1izZs2Snag7Oztht9uJG+lS0Nrair6+PmRnZyM7O9tvyanH44FOp4PNZkNlZWVI1u9PT0+jtrYW0dHRc5raecsio6Ojs2SRYMsXfJftZsKd9rny1OnpaSJJlpSUIDk52SeL8NdVDWDW6+TMATmnV6vViri4OHIXcbYmfocPH8Z5553HG/uOrq4ujI+Po7KyEsDp7EoikQT9fTgXNCzPAWdqZzabkZSUxGuJZWBgAH19fVAoFMjJyfFraudwOFBbWwuxWIz169fz9g05H+Pj49BqtUhLS0N+fv6cG0YgsshKm/hxsyhCRbYDfK3A8/LyoNPpMDk5CaVSiaamJrS3txPpbqYV+MyAMDOL4Lrgi4uLYbVayV1Ea2srIiIifEz8aBaxMtDfsh+8p495V7nwDa6Msb+/H+np6Zienp7X1C4uLg6lpaUhKecNDQ2hoaEBhYWFARUkzCWLcEFCLBb7nZC21HCy3dDQUEjLdtwsik2bNiEiIoJYdptMJrS0tMBut/t0q8vl8gUPFFIoFMjKyiImfmNjYzAajWhqaiImftxdxFIMRqL4hwaFGXjr1RqNhswQ4Bucqd3k5CQ0Gg3Gx8dhsVhmmdpxQ+kzMzN5bcExF1yTYGdnJ8rLyxfd3+I9ycx7tgFnBc5dgi7lDAKPxwO9Xg+r1YqamhreyBqBMJds533XwH0dJ921trZCJpP5dKsHYuI30xyQk5mam5shl8vJXQS1Al9aaFDwgjO146aP8fVE7XK5oNPpwDAMqqurIRaLMTY2BovFgv7+flIbznXHlpSU8NqCYy44UzuTyYT169cjOjp6SZ/fW74AQC5B55ptcDYbTzjIdoHMouC61b09r0wmE5qamuB0Ouc08eP6leay3+CeNzs7m3TBG41GNDQ0wOl0+thvUBYHDQr/B2dqx00f4+uJ2mq1QqfTQaFQYM2aNcTULiEhAQKBAOPj4+ju7oZAIADDMMjJyQkZ7dqbmaZ2K+GzI5fLkZGRQaxAuCzCe7YBJzMtRL5YzbIdMNsKnBv8Mzw8TEz8OOnOO4sAfE38Zv7jrwveaDRiaGgITU1NRFZNSUlZtJfWaoQGBfx7+liomNolJycjPz/fp8JIJpMhKysLGRkZaGhowNjYGBITEzE8PIzOzs6gzzYIBM7UTiqVYv369UG5YPSWRTj5gssiWlpaZskiM7MIztQuHGS7devWLXoWhbdlN3fa52Sm+vp6eDwev93qC7ECn2nid+TIEZJNu91u8pwJCQnUxG8BrOqgwL3xe3t7yfQxvsKZ2uXl5ZGhNjMrjFwuF3GzPOecc8gHy2q1kg9gW1vbksgiy8XU1BTq6uqgVqtRXFzMi1OePxM/LovwJ4uMj4+HjWy3XLMo/Fl2+/O8UqvViImJCcjETyAQoKioCHK5HGazGUaj0acLnsteuOel+LJqgwL3xh8fH0dVVVVImNqtWbMGarXar6kd12AXGRmJsrIyn41eoVBAoVCcURZZjtkGgcANeuG7qR3XcDVTFuFs1AEgMTERMpmMVIKFCsGQ7fx5XnGHGK7ayV+3OpcpA753Edz/8+6Cz8vLIyZ+JpMJp06dAsuyPvYbfK0yXGlWZVCYOX2Mr28GztTOaDSe0dSutrYWKSkpKCwsnHcznUsW8TfbIDY2dsWyiN7eXrS0tGDNmjV+zRT5CieLKBQKWCwW2Gw2ZGVlwWKx+Mw24DY1PssXfJDtgNOeV8nJyUhOTvZr4udtBc6V9nJZhMlkIvcSM/skOBO/1NRUsCyLyclJGI1G9PT0QK/XQ6lU+mQRfD2ULDerLihw08fkcjnWrVvH24YYztTObrdDo9HMaWrHDaXPz89HZmZmQD9jvtkGjY2Ns2SR5eiAZlkWra2tGBgYgEajIV5YoQRnaufxeLBhwwYfPXwhsggf4GZR8Em2A2ab+HFW4CaTCbW1tRAIBCTgulwutLa2orS0FBEREWc08YuNjUVsbCwx8eMOR1yhhrf9Rih4aS0V/NwRlwnO1C4xMfGMpXXBxOFwQKvVQiKRoKqqyq+pHTeUfilN7WZWdfirFpk58nExeDwe1NfXw2w2Y/369SHZkMSZ2ikUClRWVvpkVoHKIsHKWENpFoW3FTjDMGTwT0tLC5xOJyIjI+FwOGCxWEgJ88zGOX93EVKpFGlpaUhLSyNd8EajEZ2dncTEjwsSfPTSWkpWTVAwGo1obGxEbm4u0tPTeftHtVgs0Gq1xEAMmG1qxw35GRkZWbbu2JnVIvPNNlCpVAHLIk6nE3V1dRAIBKipqQnJk1igpnZnkkWCYeIXqrIdcPrkr1Qq0dfXB6FQiKqqKtKx3tXV5dfED5jfCpwLGFwXfGFhIXlObxM/7i6CD15aS82qCAq9vb3o6Ogg08f4yujoKOrr65GZmTmnqZ3b7YZer4fNZlvRofTzzTZoampCVFTUrJGPc8F1xyqVSqxZs4ZX1U8LZTGyHeBfFuEuQb1nG3D3EUsdNL1lu6qqKsTFxS3p868Ec82i4E77nIlfR0cH9Hr9gqzA/dlv+OuCNxqNaGtrg1arJVlEQkLCintpLQdhHRS4N/7w8DAqKip47TczMDCAlpYWFBcXIzk52W/Jqd1uR11dHSQSSVC7Y2fONjjTyEfvDW2hpnZ8hWVZ9PT0LPksCu9LUE4W4azAZ2YRi51BEE6ynVwunyXbAb4mftzXc9JdR0cHJBKJTxbhbeLHcSYTPwA+hRrt7e3kebksgq93lvMReiteIN6mdtXV1by1ifY2tSsvL0dcXJzfCiOz2Yy6ujpedsfON/LRe3A8cNpGuKioaEntzVcKhmHQ0tKy7LMohEIhuQTNz8+H3W4nG5o/WSSQwwEn2wFYNbIdcLpb3Z/nVWtrK2w2G+Li4shBhmvuXKiJX2ZmJrH14LKI5uZm2Gw20gfEDSMKhUNQWM5TSEhIINPHysrKFnWiNhgMkEgkSzo7mpunUFhYiKamJkxNTaG8vBxyuZy8efyZ2mVlZfHagsMfXFVHd3c3pqenIRKJkJiYyJvZBgvFW7YL5iyKmbMNrFbrgk38qGznH+9u9fHx8VnNnVwWAcBnY/cOEv5+59PT0zAajejt7cX09DQx8YuPj0dKSgpvA3LYZQoOhwMnT57kvakdwzBEauFM7bhGHLFYDJFIBKFQiP7+fhgMhpDtjpVIJJiYmCC6L8MwvJltsFD4ZGrnLYsUFhbOMvGbKYtw8gWV7eZm5ml/bGwMo6OjMBgMcDqds6zAufVw8i7gv6KJK/cGTtuepKenk4qmlJSUJVv/UhNWQcHlcqG3txeZmZm8PlG7XC6YTCbEx8ejtLSUmNpxlsFcyWlbWxt6e3tDeii9TqeDy+Xy6Y71nm3AySL+Rj7yIYvgs2wHzDbx47IIb1kkIiICIyMjZ2VqxwdWSrYDfE38ioqKztjc6S0zzWXiB5wOEly5t3cw4SNhFRTMZjNycnKQm5sb7KXMyeTkJAYGBiCXy7F27Vq/FUYMw6ChoQETExNYv349by045sNms6Gurg5SqZRkQjORyWQ+teHchracsw0CIdRmUYhEInIJWlRUhOnpabKZAiAS3lwmfnwkWNV2wPzNnQ0NDXC5XHNagXub+HGScKgo9SEfFFiWxU9+8hMAp9N8PlcYcaZ23OmNYZhZFUbcdCuGYXzK7EKJqakp1NbWIjExEUVFRQs6XZ9JFllpE79Ql+0YhkFXVxfMZjM2bNgAhUIxa7YBXzyv5oJPsh0wu7mT61YfGhqas7lzbGwMnZ2dyMnJIYc/rVYLtVqNwsLCoL6euQjpoOBwOHDrrbfin//8JwDwVqfj9NCuri6sWbMGZrMZNpttTlO7qKioOYfS8x3O1C43NxdZWVlnfbqeSxZpaWkhsshyWIGzLIv29vawkO2cTqePbDfTxG90dNSvLMKHGQR8l+38dat7N3d6PB5ERkbCbDYjLy8PWVlZYFkWBw4cwI4dO/Dss8/SoLAc3H777TAYDHjvvfewfv36YC/HL5weajKZUFVVhejoaExOTsJqtcJmsxH/G2661UJM7fhKb28vWltbsWbNGiQlJS3Z8/qTRbytwKVS6byzDRZKuMl2c5naeXer+5NF3G63X1lkpQg12Q7wbe7kHAf6+/shl8vx5ptv4p133kFycjJOnjyJX//617jxxhuDveQ5CemS1K6uLqjVaoyNjfmUpC5lDfxiSlLdbjfq6+vhcDhQXl5OBp2bzWb09PRgYmICERERUCgUmJiYQH5+PrKyspZs7SsFy7JoaWnB4OAgKioqVtTUznvko8lkOmsTP2/ZrqKiIqRlu4SEhLM2tfOWRUwmEyYnJ4mJn0qlWhLPq/kIB9muqakJo6OjqKysRHR0NAYHB3Hrrbfi008/hVwuh0gkwrZt23DvvfeioqIi2EueRUhnCpwVxNjYWLCXMgu73Q6dTgeJRAKNRgOhUEg0Ra4t3u12o7m5GYODg5BIJGhra8Po6GhAIx+DDdcda7FYgjKUfq6RjyMjI35HPvrb0Khs92/mMvEbHR2d5Xm1lDMIwlW2s1qt2LVrF3p7e6HT6VBQUIAvvvgCBw8e5O37LKQzBcB/81qwMwWz2QydTrdgUzvuRDGzieZMIx+DjcPhQF1dHYRCIcmE+IS3LGIymfzKIlS2WzjenlcmkwlTU1M+nldnO4PAW7arrKwMedmOs+QfHh7GNddcA7FYjPfeey9kZqUvSabw8ssv45lnnsHQ0BDKy8vx4osvoqamxu/Xvvrqq3jjjTdQX18PANBoNHj88cfn/PpQgzO1y8rKQlZWlk+F0ZlM7eYqf/M38jHYth1cd2xMTAxKS0t5F7CAuatFuNkGUqkUDocDGRkZvLZSnwtv2a6qqmrZZbu5PK9MJhOxzvA3IW0+wqnazlu2MxgM+Na3voX169fjjTfeCPrnNRAWnSm8/fbbuOmmm7Bnzx5s2LABu3fvxjvvvIPm5ma/kfGGG27A5s2bsWnTJshkMjz11FN499130dDQgLS0tIB/Pp8yhf7+frS2ti7Y1G7dunULKrPzlkVMJhMmJiaWfLZBIHBD6TMyMpCXlxeSm2lHRwe6uroQExOD6elpMAzDi9kGC8VbtqusrAx6SSk3yYx7j5rNZsTExJDfqT8r8PlGyIYK/mS7jz76CNdddx1uvfVWPPnkkyH3uhYdFDZs2ID169fjpZdeAnA6FczIyMB3v/td3HfffWf8fo/Hg7i4OLz00ku46aabAv75fAgKnB46MDCAdevWITY2dk5Tu9raWqhUqkVZcHiXv5lMphUd+Tg4OIjGxkYUFxefVRAPNjNlO6VS6WPiNzo6isnJyVkjH/kU+LxnUfBRtgNOS4tcFjE6OkrcRbmgOz09HXayHcuy2Lt3L+6++24888wzuOOOO0LydS1KPnI6nTh58iTuv/9+8phQKMTWrVtx4sSJBT2H1WolnYGhiMfjQVNTE8xmM6qrqyGTyfyOzeTql5fC1G6u2QbLOfKRZVl0dnaiu7sbFRUVxDo4lJhLtptv5OPZyiLLRaiY2kmlUh8rcC6L6OzshF6vBwCo1eqQrDDyJ9sxDIOnnnoKv/zlL/GnP/0Jl156aUgGBGCRQYE7pc683EpKSoLBYFjQc9x7771ITU3F1q1bF7OUoOB0OqHX68GyLDQazZymdn19fWhubkZpaemSN9jN1HmXY+QjV2Y3NjaG6upqMuYwlAhkFsVMK3BuQ1uO2QaBEKqyHTfJLDY2FhKJBB0dHUhJSYHD4cAXX3xBJpnNNPHjI/6q7ZxOJ7773e/i6NGjOHr0KDQaTbCXuSiC+tt/8sknsXfvXhw7dmzFG2QWi9VqhVarRVRU1Lymdq2trejr61uxMrulHvnobWq3fv36kPs7AViUbOc94D0/P59YgXNBQigUroiJHyfbhfIsCn8jZL1nG7S1tcFqtfrMNgiG59VceMt269evR0REBCYmJnDDDTdgbGwMJ06cWDI772CyqKCgVqshEomI4RbH8PDwGee9Pvvss3jyySfxwQcfYN26dYtZxoozMTEBnU6H1NRU5OXl+TW144b8TE1NoaamJig9BzNlEW+ddyEjH72nW81lasd3lnoWhb8B73ONfFwKK/Bwlu0A+J1kxr1Hg+F5NRf+ZLuuri5cddVVyMjIwEcffcRr37VAWNSnPCIiAhqNBkeOHME3vvENAKcj/5EjR7Bz5845v+/pp5/GY489hsOHD6O6unoxS1hxhoeH0dTUhIKCAqSlpfmtMOLK7FiW5dV0q5k673wjH1mWRV1dXUCmdnxjOWU74N+yiLcVOJdFdHZ2LloW8e6OXQ2yHXB6toFCoSCeV1wW0dzcDIfDERQTP3+y3cmTJ3H11Vfj//2//4eXX3456GZ9S8mij367du3C9u3bUV1djZqaGuzevRvT09O45ZZbAAA33XQT0tLS8MQTTwAAnnrqKTz88MN46623kJ2djaGhIQAgXix8hWVZdHd3o7u7G2VlZVCpVCQgeFcYcSeK6OhoXnfHzjfysbOzEwzDQKlUIi4ujrzGUIGbRbGSsh0AvwPeZ842WKiJ31yzKEKJxVbbec/XYFn2jLMNluOzNlO2Y1kWf/vb3/Dtb38bDzzwAO69996Q+mwshEUHhWuuuQZGoxEPP/wwhoaGUFFRgUOHDpHL556eHp9f2q9+9Ss4nU5cddVVPs/zyCOP4NFHH13scpYFlmVhMBgwOjqKqqoqREZGkpJT7wojrjs2NTU15JqhuNkGHo8Ho6OjyM3NhcfjQUdHB+rr6xEbG0t0Xr5OSAPAC9kO8JVFuGEt/kz8VCrVLFkkHGS7pay2A+afbdDY2LjkzZ3+ZDuWZfGrX/0Kjz76KF599VVce+21vP0cLAZqc3EGGhsbMTExAbFYjHXr1iEiIoJUGHkHhKGhITQ0NITsdKv5TO28ZxuMjY3NOfIx2HjLdhUVFbyR7WbiLYuYTCYfWUQqlcJgMFDZLgCWurnTn6md2+3GAw88gL179+Ivf/kLzj///GV8RcGFH59mnsJpxGKxGFVVVT6mdt4VRp2dnejs7MS6deuQkJAQ7GUHjMfjgV6vx/T0tF9Tu4WMfFyO2QaBEEqmdnPJIv39/bBYLJBIJBAIBBgfH+fFbIOFEizZztsKPDs72+9sA++y7PmkOH+y3fT0NHbs2IHm5mYcP36ct3MQlgoaFObAbDZDq9WS6gfvgOA9NtNgMMBoNKK6uhpKpTLYyw4Yb1O7mpqaM16YLXS2gT9ZZLkIZdmOk0VGR0dhs9mwZs0aiMVin5GP3t3qfPXQ4YtsB8zd3Nnf34+mpiZERUWR36d3c6c/2W5oaAj/8R//AalUik8//TQkD32BQuUjP3AfyOzsbFitVkgkEmRmZs4ytdPpdHA4HKisrAzJi0CLxYLa2lrExsZizZo1iz6R+pttsNzVIkNDQ2hsbERBQUHYyXZ887yai1CR7QD4NHeaTCbS3BkZGYm+vj4f2a6xsRFXXnklzjnnHLz++uu8DchLDQ0KM+jr60N7ezuKi4uRlJSEpqYmCAQC5ObmQiqVElO72tpaREREoLy8nDeaeiAsd3es94Y2OjqK8fHxJR35yFWDdXR0oKysLCRPcN6y3UJM7WZ6XnnPNjiTLLJchJJsNxOuubO7u5v0WrW0tKCjowOZmZl46qmncPvtt+Oxxx4Lqde1WEJvN1smOFO7wcFBlJeXE1M7uVyOzs5OjI+Pk9NuZ2fnoqZbBZuBgQE0NTUtq6ndTJ13vpGPKpUqoFPYapTtgIXJIt7d6sv93gxl2Q44/R7lmg85I0ur1YrXX38djY2NiIqKQn9/P/70pz/hsssuC8n32dlAgwJOn9gaGxthsVig0Wh8TO0yMjKQmZmJiYkJ9Pb2ore3FwKBAHa7Hf39/bzWeWfCWUb39PSseHfsmWYbLHTko7dst2HDhlUr280122B0dBR1dXU+nldqtXrJJZ1wqrbzNrWrr69HX18f9u3bh7i4OBw4cABPP/00SkpKeDk6czlY9fKR0+mETqeDQCBAWVnZgkztoqOjfWSRhYx8DDYMw6CxsRHj4+O8m27lrfOOjo7OOfKRynYLw9vzipuQFqjn1XzPHY6yncPhwM6dO/HRRx9h3759qyYA+GNVB4Xp6WlotVoolUqUlJTMaWrX1taG/v5+lJeXIy4uzuc5FjLyMdi4XC5otVq43W5UVlbyeoAMt6FxQYKbbRAdHQ2j0YiEhIRFzaIIJish2/lj5mwDzvOKy8wWatHgLdtxsyhCDW/ZrqKiAhKJBOPj47j++usxOTmJffv2hWTms5Ss2qAwPj4OvV6PtLQ05ObmntHUrrKy8oxldt6yCLehLcdsg0DwLrNbt25dyF2YOZ1OdHV1EQM/b1fSYM82WCjest26deuCamrnbeJnMpkwPT29IBM/b9muoqIiZCRTb/zJdp2dnbjqqquQnZ2Nt99+O6iBLpCxxgDwzjvv4KGHHkJXVxcKCgrw1FNP4dJLL130OlZlUBgaGoLBYDijqR03YOVsy+z8ySIrOfJxcnISdXV1SEpKQlFRUchdBAK+3bHJyckBj3wMNnyW7YB/N2hy9xHejXUqlQpisdhHtlvoCFm+4U+2+/LLL3H11Vfjm9/8Jl588cWgvq5AxxofP34c559/Pp544gl8/etfx1tvvYWnnnoKp06dwtq1axe1llUVFLxN7dauXXtGU7ulnG610iMfR0ZGUF9fj/z8/JD0eD+TbAeAzDbgNrSZIx+DvXmFkmwHnA5gXLe6yWSC1WpFVFQUrFYrVCpVyJWccsyU7ViWxb59+3DbbbfhoYcewg9/+MOgy5GBjjW+5pprMD09jb/97W/ksXPOOQcVFRXYs2fPotYSejd1Zwk35GNsbGxeU7vx8XFotVqkpaUhPz9/yTbq+UY+1tbWQiAQLMnIR5Zl0dPTg/b2dqxdu9bvKYPveMt269evn1O2m2u2QWdnJ+rr65d8tkEgeMt2FRUVIXEpLhQKER8fj/j4eBQWFqK/vx8GgwEymQxGoxHHjx/nxWyDheKv2o5lWbz88sv46U9/itdeew1XX3110LPLsxlrfOLECezatcvnsW3btuG9995b9Hr4/05dArghHy6XC9XV1ZBIJH5N7VZyutV8Ix+5DS1QWYRlWTQ3N2N4eNhnulUo4S3bBTKLYiGzDbyD7nJu0uEm26WkpMyabWC32336TIJpa+EPb9lu/fr1iIqKgtvtxn333Yd33nkHhw4dwrnnnhvsZQI4u7HGQ0NDfr+eG0WwGMI+KNjtdmi1WshksgWZ2pWXl0OtVq/oGucb+chZj59JFvF4PNDpdH6nW4UKSynbzTXboL29HXq9HrGxseTUu5QjHznZLi8vj1ijhBLesl1VVRWR7bzvGgD4eF61trYSzyuuLDuYWYS3bFdTUwOpVAqLxYIdO3agpaUFx48fR0FBQdDWx3fCOihMTU1Bp9MhISGBvAn8mdpxNrnr16/nxXSrmbLIxMQERkdH55RFnE4namtrIRaLFzTdio8sl2wHrNzIx56eHrS1tYW9bAeAzDbIzMz08bxqampa8tkGgeBPthsaGsJVV12FyMhIIoHxibMZa5ycnHxWY5AXQtgGBW9Tu8zMTDAMQyqMuIDA2eQ6nU7eTrfy1nkLCgpgs9l8JqQJhUIyJS1UK0M4U7vCwsIVGUq/0JGPC5VFVrNsB5zOIhISEpCQkODjeTUyMoLm5uYVM/HzJ9txpnabNm3C73//e15+xs9mrPHGjRtx5MgRfP/73yeP/eMf/8DGjRsXvZ6wrD4CgPb2dpSUlCAxMdFvhRFXZieVSrFu3bqQuAiciclkgk6nI9mC3W5HXFwckZqWUhZZDliWRVdXF5lFEewTnPdsA5PJhPHxcchksnllEa471mq1orKyMqRlu+UYIbtSzZ3+ZLt//vOfuOGGG3DnnXfi5z//edArjObj7bffxvbt2/HrX/+ajDX+05/+BIPBgKSkpFljjY8fP44LLrgATz75JC677DLs3bsXjz/++JKUpIbeTjgPLMvCaDTCYrGgoqICMTExpMLIOyBMTU2htrY2pE3tuMqQkpISpKamAoDPhraUsshywHXHmkwm3sh284189CeLCIXCsJHtlsvUbqGeV4tp7pwp27EsizfeeAM/+MEPsHv3btx66628PhwBgY813rRpE9566y08+OCDeOCBB1BQUID33ntv0QEBCLNM4c9//jPkcjkxtfN4PGBZ1qfCyGg0Qq/XIzc3F1lZWbx/s8yEc3Pt7e1FeXn5nNOt5hv5uFyzDRZKKM6imDnbYHx8HAKBAAqFAoWFhYiPjw+5w0WwTe0W29zpLdtxh0CGYfDzn/8ce/bswdtvv41t27at0KsJH8IiUxgcHARw2sq3qKgIMpmMXCh7m9r19vaipaUFa9asWZILmZWGYRg0NDRgYmKClNnNxVwjH41GI1paWnxmG8TGxq5YFuEt261fvz5kZDtvK/Do6GhMTU1BpVJBJBKhoaGBjHzkNjU+B7qZsl2wTO0kEgmSk5ORnJzs09zZ19eHhoaGeZs7vWU7rtrO4XDgzjvvxKeffooPP/wQ5eXlQXldoU7IZwqNjY3YunUrBgcH8f777yM/Px9JSUkkIIjFYrAsi9bWVgwMDMyabhUquFwu1NXVgWEYVFRULKo7dqbO63K5VqRaJBxkO6471lu2855twLmSBtvzai68ZbuKigremtp5N3eaTCaf5s7o6GjU19dDLBajvLwcEokEY2NjuP7662GxWLBv374VNRwMN0I6KBw7dgzf/OY38Z//+Z946aWXcOjQIaSlpSE1NdXH1K6+vh5msxlVVVVBlU3OFm66VWRkJMrKypb0VM/pvNwHcLlGPq4W2Q6Az2wD75GPK+V5NRehKNsB8GnuHB4eJiNybTYboqKikJycjP/4j/9Afn4+9u7dy4v7qVAmpIPCj3/8Y+Tk5ODiiy9GVlYWDh8+DIZhkJiYiISEBERGRpJZCeXl5SHhqDkTbrpVSkoKCgsLl30znTnykZNFFjPysbe3F62trcTULtRYjKndcs42CIRwqLYbHR2FTqdDamoqIiMj8corr+DXv/41HA4HCgsL8eijj+KSSy4JSSWAT4R0UABOf+g+//xznHPOOejo6ABw+s0zMjICl8sFqVSK7OxsJCQkhFy54PDwMBoaGoJmaudPFglk5GO4yHZarRYej2fRsh0w92wD7j5iOQ4u4SjbsSyL999/H7fddhv+8z//EzExMTh48CAMBgNaWlqQk5MT7CWHLCEfFDg3wYGBAdxwww24/PLL4XK58MILL+Cll15CdHQ0cSVd6MjHYMNXU7v5ZJGZIx+pbHdmOBM/7vdpsVh8sojo6OhFZxGcbJeTk4Ps7OywkO0YhsGLL76Ixx57DL///e9x1VVXkdfV29uL9PT0kHudfCLkgwJwuvnm4MGD+Oc//4n//d//xfDwMHJzc3Hrrbdi27ZtKCws9GnFN5lMc458DDacm+vIyAgps+Mj88kiMTEx6OjoCGnZbnJyErW1tSsm2wGnJR7vLMK7giw+Pj7gPohwqLabKdu53W7813/9F959912899572LRpU7CXGXYsyVH55ZdfRnZ2NmQyGTZs2IDPP/983q9/5513UFxcDJlMhrKyMhw4cGBRPz8yMhJXXnklUlJSYLPZ8Oqrr2Lnzp345z//iU2bNqGsrAw/+tGPUFtbi5ycHJx//vnQaDSIjo5Gf38/Pv74Y3z22Wdoa2vDxMQEghUn3W43tFotxsfHUVNTw9uAAPzbCjwvLw8bNmzA+eefj4yMDLKZTk1NQSaTYWxsDC6XK9jLDYjh4WGcPHkSubm5K+pyKpPJkJaWhvLycmzZsgVlZWWQSCRob2/Hhx9+iC+//BJdXV2wWCzzvke5ofTt7e3QaDQhGRBcLhdOnTqF6elp1NTUICoqChaLBddeey0++ugjHD9+PKgBIZA979VXX8V5551HXHy3bt16xj0ymCw6U+DLxCCGYbBr1y7s2LED69atA/DvhqMjR47g4MGDOHToEIaHh3Heeefh4osvxrZt25CbmzuriQbAksw2CAS73Y66ujpIJJKQ9TAaHx9HXV0d0tLSoFarye90oSMfgw1fZTvgtNEbl5WNjY1BIpH4ZBHcxbG3bLeQEbJ8xJ9sNzg4iKuvvhrR0dH4y1/+EtSRpoHueTfccAM2b96MTZs2QSaT4amnnsK7776LhoYGXpbOLjoo8Gli0Jng0tEDBw7g4MGD+PTTT5GdnU0CxObNmyGVSn1GPnI673KOfDSbzairq0N8fHzIDqWfbxbFfCMfz0YWWQ4YhkFLS4tPdyxf8Xg8PhPSbDYb4uLiEBsbi5GREYhEorMeIRts/Ml29fX1uOqqq3DeeefhtddeC7rUG+ieNxOPx4O4uDi89NJLuOmmm5Z7uQGzqKDgdDqhUCjw5z//mbj7AcD27dsxMTGB999/f9b3ZGZmYteuXT7ufo888gjee+89aLXas11KwHCa+D/+8Q+SRUxOTmLLli24+OKLcfHFFyMjI8OniWY5Rj5yZXZZWVnIycnh5Ql6PrhZFN3d3SgrKzujqZ2/kY/LNdtgoXBDmGw2W0ia2k1PT2NwcBDd3d1gGAYymQwJCQlQqVS887yaD3/VdkeOHMGNN96InTt34qc//WnQD0xns+fNxGw2IzExEe+88w6+/vWvL+Nqz45FFSvzbWJQIHCa+FVXXYWrrroKDMOgrq4OBw8exJ/+9Cfs2rULxcXFuOiii7Bt2zacc845EIvFSzrykTO146ZbhRresyiqq6sX1DQ0c+SjtywSDBM/b9kuVE3tnE4nent7kZmZiZycHOJ5ZTAY4HQ6eeN5NRf+ZDvO1O6HP/whfvnLX2LHjh28ODCdzZ43k3vvvRepqanYunXrcixx0YReB8syIRQKUVVVhaqqKjzwwAMYGxvD4cOHcejQIWzfvh12ux0XXnghtm3bhosuumjWhDRu5KM/nXcm3mV2lZWV83bH8hVuFoXL5VrULAq5XI6MjAy/sw04K3DvDW0pNwZOtouLi0NpaWnQT6Fngz/Zzt9sA3+eV3FxcUF/zd6yHTeLgmEY/PSnP8Wrr76K9957DxdddFFQ17iUPPnkk9i7dy+OHTvG247yRQUFvk0MWio4n5Xrr78e119/PTweD7788kscOHAAr7/+Or773e9i7dq15C5i/fr1EAqFGB8fx+joKNra2uaURThTu8nJyTOa2vEVbrqVTCZDdXX1knXHzjfysa2tbUlHPoaTbDfXCFlvE7/s7Gwfz6uGhoZlm22wULxlO87Uzm6344477sBnn32Gjz76CGVlZSu6pjNxNnsex7PPPosnn3wSH3zwASmG4SNLctFcU1ODF198EcDpyJ+ZmYmdO3fOedFstVqxb98+8timTZuwbt26Zb9oXgpYlsXIyAgOHTqEgwcP4u9//zsAYOvWrbjoootw0UUXISEhwWdw/NjYGCIiIhAXF4epqSmIRCJUVlaG5EUg1x2bmJiIoqKiFTtpzuwzWczIR3+zKEIJb9musrLyrLx+vGcbmEymFW/u9FdtNzo6iuuuuw42mw379u3j7d8m0D0PAJ5++mk89thjOHz4MM4555yVXG7ALElJKl8mBgUDt9uNzz77DAcOHMChQ4eg1WpRVVVFsojKykoAwOeffw6TyQSFQgGWZX02ND7qvP7gi6ndzNkGnIkfVwAwlywSiKkdX/EeIbuUpnb+ZhssV3OnP9muvb0dV155JYqKivDWW2/x2tQu0D3vqaeewsMPP4y33noLmzdvJs/DZXF8Y0k6ml966SU888wzZGLQL3/5S2zYsAEAsGXLFmRnZ+P1118nX//OO+/gwQcfRFdXFwoKCvD000/j0ksvXewygg7LshgYGMChQ4dw4MABHDlyBBEREVi3bh2OHz+OO+64A48++qhPiebY2BjkcrnPhsbHahHO1G7NmjWzLtmCjdvt9rFZ9ng8s2QR71kUgZra8QVv2W45Te28u9U5i5j5ZhsEgj/Z7rPPPsM111yDa6+9Fi+88EJImPUFsudlZ2eju7t71nM88sgjePTRR1dw1QsjLGwu+IrD4cATTzyBxx9/HPHx8TCZTKipqSFZRFlZGRiG8ZmQthhZZDngumMHBwdDwtTOnyyiUCjgdrshFotDsuQUCJ5sB2BWWTZwds2dM2U7lmXx7rvv4vbbb8dPf/pT3HPPPSF3txOO0KCwjHzwwQf45je/if/5n//BZZddhu7ubhw8eBAHDx7E0aNHERMTg61bt2Lbtm34yle+gqioKJ85y8s122ChcN2xFosFlZWVISNzecNtpgKBAB6PBwB4MdsgEPgi2wG+sw1MJhPMZjNiYmLmbe6cy9Tul7/8JZ544gn84Q9/wDe/+U0aEHgCDQrLiNvtRmtrK0pKSmb9P5vNho8//hj79+/HoUOH0NnZiY0bN2Lbtm24+OKLUVxcDIZhZskiKzXy0eFwoK6uDkKhMGRN7WbOogCwbLLIcsFn2Q6AT1n22NjYrOZOblypt2zncrnwgx/8APv27cP777/P+4vX1QYNCjyAZVm0tbUR+40PP/wQSUlJpJppy5YtUCgUPper3tUiSz3y0WKxoLa2FrGxsVizZk3Qa9nPhoXMophv5ONKeV7NRajJdsC/rcC9LWJEIhHEYjEyMjKQlZWF6elp3HTTTejt7cW+ffuQl5cX7GVTZkCDAg+Znp7G0aNHif3GwMAAzj33XHIXkZ+fP+tydb7ZBoEwNjYGrVaLjIwM5OXl8e7kfCZYlkV3dzc6OjpQVla24KH0DMP4WIEvx2yDhRIOsp3VasWpU6cgFoshlUrxwAMPQK/Xg2VZpKWlYf/+/cjKygr2Mil+oEGB53DzFfbv34+DBw/ik08+QUZGBgkQ5557LmQymc+GZjabfWSRhZr4cd2xxcXFvHRvPBPesygqKysXNZTee7YBJ4ushIlfOMp2AoEAX3zxBb71rW+RIN3R0YHzzjsP7733Hq/LT1cjNCiEENx4zA8++IBkEWNjYzj//PNJkMjKyoLL5SIBYiEjH1mWRUdHB3p6erBu3bqg2hKfLctpaseZ+C23FTgn28XExGDNmjW8LE0+E/5ku3/84x+46aab8P3vfx+PPPIIhEIhOjo68OGHH+KWW24J8oopM6FBIYRhGAZ6vZ40zh0/fhz5+fm46KKLcMkll2Djxo2QSCTzyiKRkZEwGAwYGxtDRUVFSJ7aVnoWhc1m8ynRnGu2QSCEo2zHsix+//vf495778XLL7+M7du3h9zrWo3QoBAmsCyLiYkJ/P3vfydZhNVqxZYtW0hFU2pqqs/geO4uQiwWIz8/H0lJSSHnEmo2m1FbWwuVShWUWRQz+0y42QaBmPiFo2zn8Xjwk5/8BK+99hreeecdfPWrXw32MikLhAaFMMXj8eDUqVOkL+KLL75AaWkpsQKPi4vD/fffjx/84AdISkrC2NgYL2YbBILJZIJer+eVqZ13n8n4+Dgx8fM32yBcZTubzYb/7//7/3Dy5Ens27cv6PY1L7/8Muk+Li8vx4svvoiampozft/evXtx3XXX4YorrsB77723/AvlCTQorAJYlsXo6Cgx8du/fz+mpqaQlpaG++67D5deeikSExP9mvhxFU1nK4ssF319fWhubub1LArOxG90dBRGo9FntkF8fDy6urowPj4eVrKdyWTCtddeC5fLhX379gXd/TjQ0ZkcXV1dOPfcc5Gbm4v4+HgaFCjhy/vvv4///M//xC233ILo6GgcPnwYtbW1qKioIBPnNBoNBAKB35GPyzXbYKFwPR19fX2oqKhAXFzciq/hbGBZlmQRIyMjmJiYgEAgQEpKCpKTk3kx2yAQ/Ml2ra2tuPLKK7FmzRr893//Ny/8pc5mdKbH48H555+PHTt24OOPP8bExAQNCpTw5Tvf+Q4uueQSfOtb3wJwerMaHBwkWcQHH3wAkUiErVu34uKLL8ZFF12E+Ph4nwlp3rLISpr4eTweNDQ0YGpqKmSH0nub2qWkpJD7CO/ZBiqVitf+TP5ku+PHj+Paa6/FDTfcgOeee44XWeXZjs585JFHoNPp8O677+Lmm2+mQYGyunG5XDh+/DipaGpoaEB1dTUpeS0vLwfLsnPKIstlBe50OqHVasGybEgPpa+rq5tlajeXiV+wPK/mY6Zsx7Is/vd//xd33nknHnvsMdx99928uNsBgIGBAaSlpeH48ePYuHEjefxHP/oRPvzwQ/zrX/+a9T2ffPIJrr32WtTV1UGtVq/KoBD8cE7hFRKJBBdccAGZedHb20suq3fv3o3IyEhcdNFFuPjii/GVr3zFZ87yco18tFqtqK2tRVRUFNauXRuS9fsjIyOor69HXl4eMjMzfTZOgUCA6OhoREdHIycnBy6XiwwU0uv1PrMNVCpVUMY4est2VVVViIuLA8MweOGFF/D000/jzTffxBVXXMGbgHA2mM1m3HjjjXj11Vf9TrJbLfAuUwi0UuCdd97BQw89RGYzPPXUU2Exm4GP2O12fPLJJ8TEr62tDeeccw7JIkpLS8EwjM+EtMWOfOS6Y1NTU1FQUBCSm05PTw/a2trOytSOa1jkfp9TU1OIiopaURM/f7Kdy+XCrl27sH//frz//vtklgCfCFQ+qqurQ2Vlpc+hg2EYAKdnuDc3N68KryZeBYVAKwWOHz+O888/H0888QS+/vWv46233sJTTz0VslPcQgluRjBn4nfs2DHEx8eTktctW7YgMjJyThO/hYx8HBoaQmNjIwoKCpCRkbGCr25pWA5TO3+zDbyD7lLLav5ku6mpKdx0003o6+vD/v37kZOTs6Q/cykJZHSm3W5HW1ubz2MPPvggzGYzfvGLX6CwsDAkZctA4VVQCLRS4JprrsH09DT+9re/kcfOOeccVFRUhMS853DCarXi2LFjOHDgAA4fPoyenh5s3ryZZBEFBQWz5izPNfKRZVl0dXWhs7MzIFM7PuHxeKDX6zE9Pb1spnbcbAMuSExNTfl0qy/U82ou/Ml2/f39uPLKK6FWq/G///u/vK/+CnR05kzonUIQcTqdOHnyJO6//37ymFAoxNatW3HixAm/33PixAns2rXL57Ft27atqj8gX1AoFLj00ktx6aWXgmVZNDc3kyzi0UcfRWpqKskizj//fJSWlhJZpL+/H01NTYiKioJKpcL09DQmJydRXV29KFO7YOFtaldTU7NsXeICgQCxsbGIjY1FXl6eT7d6T08P8bziMrNA1uFPttNqtbjqqqtw0UUX4Te/+U1InJqvueYaGI1GPPzww2R05qFDh4iM19PTw5tLfL7Am0zhbCoFIiIi8Ic//AHXXXcdeeyVV17BT37yEwwPD6/Iuinzw1XWcFbgBw8exMjIiI+JH3e52tHRgba2NkilUojFYp8NLRQ2IIA/syhmzjYIxMRvpmzHsiwOHz6MW265Bbt27cJDDz1EN9IwhjeZAiU84SprrrjiClxxxRVgGAaNjY3Yv38/9u3bh/vvvx85OTnYsGEDPvjgA1xwwQXYs2cPuYvo7u5GfX39GUc+8gE+mdoJhULExcUhLi4OBQUFpFt9dHQUnZ2dEIvFPgOFxGKxX9mOZVn87ne/w/33349f/epXuPHGG3n5u6csHbwJCmq1GiKRaNYJf3h4eM5W+eTk5IC+nhJ8hEIh1q5di7Vr1+JHP/oRJicn8eqrr+LRRx8Fy7L461//CrPZTLqrN2zY4HO5yqX73hsaH0z8BgYG0NTUxFtTO5lMhvT0dKSnpxMrcJPJhPb2duj1esTExIBhGNhsNmg0GsTExMDj8eDhhx/GH/7wB/ztb3/DhRdeGOyXQVkBeCMfAYFVCgCn9UKr1Yp9+/aRxzZt2oR169bRi+YQQa/XY/PmzXjggQfwX//1X9BqtURm+uyzz1BcXEzuIs455xyIxeKzlkWWg3AwtTObzdDr9bDb7WAYBr/5zW8gkUjQ39+PkZERHDhwAKWlpcFeJmWF4FVQCLRS4Pjx46TJ6rLLLsPevXvx+OOP05LUEMLtduPjjz+edQrluqYPHz6MgwcP4vDhw3A6nbjwwguxbds2XHTRRUhOTp41ON77LmK5Tfw4KWx8fJwMpQ817HY7amtrIZVKsW7dOggEAvzP//wPHnjgAVgsFrAsiwsuuACXXnop7r77bnqXsArgVVAAgJdeeok0r1VUVOCXv/wlaYzZsmULsrOz8frrr5Ovf+edd/Dggw+S5rWnn36aNq+FIR6PB1988QWx3+ACP3dZvX79egiFQuIlNDo6CqvViri4OCI1LaUVuMvlglarhdvtRmVlJSmnDSU4Uzu1Wo3i4mIIhUK0tLTgyiuvxLp16/Dmm29iYGAABw4cgF6vx29/+9tgL5myAvAuKPCRQLqsX331Vbzxxhuor68HAGg0Gjz++OML8m+nLAyWZTE8PEyyiL///e8A4GPip1ar/VqBe2cRZ2uXwZnayeVylJWV8cL8LVBMJhN0Oh1ycnKQnZ0NgUCATz/9FNdeey22b9+OZ555JiTtRCiLhwaFMxBol/UNN9yAzZs3Y9OmTZDJZHjqqafw7rvvoqGhgZcXkOGA2+3GiRMnSBah1+tRVVVFsoiKigoA8JmQ5nA4zsrEjzO1S0pKQlFRUUhW4vT19aGlpQWlpaVITk4Gy7J45513cNddd+HJJ5/Ezp07Q/J1UZYGGhTOwNn4sXvj8XgQFxeHl156CTfddNNyL3fVw7Is+vv7fazAZTIZySK2bt2KmJiYWVbg3iZ+sbGxfk/J85nahQKcqV1/fz/Ky8uJqd1zzz2H5557Dm+++SYuv/zyoL6uQL3PJiYm8OMf/xh/+ctfMDY2hqysLOzevZtKyIuABoV5OFs/dm/MZjMSExPxzjvv4Otf//oyrpbiD4fDgePHjxMTP4PBgA0bNpAsYu3atbPmLDudzlkmfj09PWhvb8fatWvnndjFV/yZ2jmdTtxzzz04dOgQ/vrXv2L9+vVBXWOgWbnT6cTmzZuRmJiIBx54AGlpaeju7kZsbCzKy8uD8ArCAxoU5uFsuqxncuedd+Lw4cNoaGgIiuUx5d+wLIvu7m5iv/HPf/4TMTExPlbgUVFRs+Ysi8ViMAyDwsJCpKWlhVwFjtPpRF1dHQAQU7vJyUnceOONGBoawt/+9jdkZ2cHdY1A4Fn5nj178Mwzz8BgMPCiVyVcCK13d4jx5JNPYu/evXj33XdpQOABAoEA2dnZuPPOO7Fv3z4YjUa89tprUCqV+MlPfoLMzExcdtll+O1vfwur1Yr8/Hzs3bsXTqcTarUaHR0dOHbsGLRaLfr6+mC324P9ks7I9PQ0Pv/8c8hkMmg0GkRERKC3txcXXXQRgNNDZfgQEDjvs61bt5LHzuR99te//hUbN27EXXfdhaSkJKxduxaPP/44PB7PSi07LAm9sokV5Gy6rDmeffZZPPnkk/jggw+wbt265Vwm5SyRy+XYtm0btm3bRvR2Lov46U9/CoZhSCZx7rnnQi6Xkwlpg4ODMBgMxAqcm23ApyxifHwcWq0WaWlpyM/Ph0AgQF1dHa666ipccskl2LNnD288pUwmEzwez6x5E0lJSTAYDH6/p6OjA0ePHsUNN9yAAwcOoK2tDXfeeSdcLhceeeSRlVh2WMKfdzAPiYiIgEajwZEjR8hjDMPgyJEjPnLSTJ5++mn87Gc/w6FDh1BdXb0SS6UsEoFAgIKCAnzve9/Dc889h8TERGzevBnf/OY38fOf/xwZGRn45je/iT/+8Y/weDyorq7GBRdcgJycHDgcDmi1Wnz44YfQ6XQYGBiA0+kM6usZHBzEqVOnkJ+fj4KCAgDAgQMHcMkll+DOO+/Eb3/7W94EhLOFYRgkJibiN7/5DTQaDa655hr8+Mc/pm4Gi4RmCmdg165d2L59O6qrq0mX9fT0NG655RYAmNVl/dRTT+Hhhx/GW2+9hezsbAwNDQEAoqKiQrLjdTXy8ssv49vf/jYefvhhCAQCMAwDg8FAsogHH3wQGRkZ5LL63HPPxZo1azA1NQWTyYTe3l40NjYiOjp6yWYbLBRvU7vy8nKo1WqwLItXX30VP/7xj/HrX/8aN9xwA+8qp84mK09JSYFEIvGpFCspKcHQ0BCcTmfIB71gQYPCGQjUj/1Xv/oVnE4nrrrqKp/neeSRR/Doo4+u5NIpZ8nLL7/ss2kKhUKUlpaitLQUP/jBD2A2m/HBBx/g4MGD2LlzJ8bGxnDBBRcQE7+amhq4XC5yWe0920ClUi2bFTjDMGhqasLo6CjWr1+P6OhoeDwePPjgg/jjH/+I/fv3Y8uWLUv+c5cC76ycq/TjsvKdO3f6/Z7NmzfjrbfeAsMw5DPY0tKClJQUGhAWAa0+olAWAcMw0Ol0pHHuxIkTKCgowNatW3HJJZdg48aNkEgkJIswmUywWCw+E9Kio6MXfXJ3u93QarVwOp2orKyETCaD1WrFrbfeCr1ej/3796O4uHiJXvXyEKj3WW9vL9asWYPt27fju9/9LlpbW7Fjxw7cfffd+PGPfxzkVxO60KAQggTa4MOxd+9eXHfddbjiiivodLplgGVZTExM4PDhwzh06BAOHToEq9WKLVu2YNu2bbj44ouRmprqMyFtdHQUIpHIx34j0PLKmaZ2YrEYIyMjuOaaayAUCvHee+/NusDlK4F6n504cQL33HMP6urqkJaWhm9/+9u49957qUXHIqBBIcQItMGHo6urC+eeey5yc3MRHx9Pg8IK4PF4cOrUKZJFfPHFFygtLSUBoqamBiKRiMw2MJlMsFqtiI2NJUHiTCZ+U1NTqK2tRUJCAjG1MxgMuPLKK1FVVYU333wTcrl8BV91eGA0GlFWVoa7774bDzzwAIDTrsxbtmzBwYMH8dWvfjXIK1w+aFAIMc7GdsPj8eD888/Hjh078PHHH6+6QeR8gGVZGI1GHxM/j8eDr371q8TELzEx0a+JH+fyOtMK3Gg0Qq/XIzc3F1lZWRAIBPj4449x3XXXYceOHXjqqafoiXkRHDhwAN/4xjdw/PhxFBUVoaKiAldccQWef/75YC9tWaFBIYQ4W9uNRx55BDqdDu+++y5uvvlmGhR4gNvtxr/+9S8cOHAAhw8fRm1tLSoqKkhFk0ajAQCfLMJmsxETP5fLhZ6eHh9Tu7179+Luu+/G008/jTvvvJN3FUahyF133YUPPvgA1dXV0Ov1+OKLL0LSJj0QaPVRCHE2DT6ffPIJfve73xGbAwo/EIvF2Lx5MzZv3oyf//znGBwcJCZ+e/bsgVgs9jHxKywshM1mw/DwMAwGA4RCISIiIvCb3/wGxcXFMBgMeOWVV/D222/jsssuowFhiXj22Wexdu1avPPOOzh58mTYBwSABoWwxmw248Ybb8Srr74KtVod7OVQ5kAgECA1NRU7duzAjh074HK58Omnn+LAgQN44YUXcNttt2H9+vXYsmULPvjgA8TExOC///u/Ybfb8cc//hG/+MUvYLfbsXnzZnR3d6Orqws5OTnBfllhQXt7OwYGBsAwDLq6ulBWVhbsJS07VD4KIQKVj+rq6lBZWemjKzMMA+B07X1zczPy8vJWZO2Us4NlWfT29uLtt9/GE088gcnJSahUKlxyySU499xz8eabb2JsbAy7d++GVqvFgQMHYDab8fnnnwd76SGP0+lETU0NKioqUFRUhN27d0Ov14ekS24g0KAQYmzYsAE1NTV48cUXAZze5DMzM7Fz585ZF812ux1tbW0+jz344IMwm834xS9+gcLCQtrkEwIMDAzgvPPOw/r167Fnzx58+eWX2L9/P/74xz9CoVBAp9MhNjaWfL3H46EXzEvAf/3Xf+HPf/4ztFotoqKicMEFFyAmJgZ/+9vfgr205YWlhBR79+5lpVIp+/rrr7ONjY3sd77zHTY2NpYdGhpiWZZlb7zxRva+++6b8/u3b9/OXnHFFSu0WspS4Ha72T/84Q+sx+Pxedxut7PT09NBWlV4889//pMVi8Xsxx9/TB7r7OxklUol+8orrwRxZcsPNcQLMa655ho8++yzePjhh1FRUYG6urpZthuDg4NBXiVlKRGJRLjppptmObBKpdIFjxFdDl5++WVkZ2dDJpNhw4YNZ5Ssdu/ejaKiIsjlcmRkZOCee+7hrf34li1b4HK5cO6555LHsrOzMTk5iTvuuCOIK1t+qHxEoVACJtAmyrfeegs7duzAa6+9hk2bNqGlpQU333wzrr322rCv+w81aKZAWRICPTVOTEzgrrvuQkpKCqRSKQoLC3HgwIEVWi1lsTz//PO47bbbcMstt6C0tBR79uyBQqHAa6+95vfrjx8/js2bN+P6669HdnY2Lr74Ylx33XX0QpyH0KBAWTRvv/02du3ahUceeQSnTp1CeXk5tm3bhpGREb9f73Q6cdFFF6Grqwt//vOf0dzcjFdffRVpaWkrvHLK2XA2U9I2bdqEkydPkiDQ0dGBAwcO4NJLL12RNVMWDu1ToCwa71MjcHp27v79+/Haa6/5td547bXXMDY2huPHjxPzNz6MhKQsjLNporz++uthMplw7rnngmVZuN1u3H777cRXiMIfaKZAWRR0ti5lIRw7dgyPP/44XnnlFZw6dQp/+ctfsH//fvzsZz8L9tIoM6CZAmVR0Nm6q4+zmZL20EMP4cYbb8Stt94KACgrK8P09DS+853v4Mc//jGvZluvduhfgrLi0Nm6oc3ZzC63Wq2zNn6uwY4WQPILmilQFgWdrbs6CXR2+eWXX47nn38elZWV2LBhA9ra2vDQQw/h8ssvp93XPIMGBcqioLN1VyeBzi5/8MEHIRAI8OCDD6K/vx8JCQm4/PLL8dhjjwXrJVDmgDavURYNna1LoYQPNFOgLJpAT40ZGRk4fPgw7rnnHqxbtw5paWn43ve+h3vvvTdYL4FCofwfNFOghCUvv/wyGQBfXl6OF198ETU1NXN+/e7du/GrX/0KPT09UKvVuOqqq/DEE09AJpOt4KoplOBDq48oYUegHdZvvfUW7rvvPjzyyCNoamrC7373O7z99tu0sYqyKqGZAiXs2LBhA9avX4+XXnoJwOmL74yMDHz3u9/122G9c+dONDU1+ZRY/uAHP8C//vUvfPLJJyu2bgqFD9BMgRJWUF8eCmVx0ItmSlhBfXkolMVBMwXKqof68lAo/4ZmCpSwgvryUCiLg77bVwFvvPEGVCoVHA6Hz+Pf+MY3cOONNwZpVcsD9eWZzUcffYTLL78cqampEAgEeO+99874PceOHUNVVRWkUiny8/Px+uuvL/s6KfyABoVVwNVXXw2Px4O//vWv5LGRkRHs378fO3bsCOLKloddu3bh1VdfxR/+8Ac0NTXhjjvumOXLc//995Ovv/zyy/GrX/0Ke/fuRWdnJ/7xj3+ElS/P9PQ0ysvL8fLLLy/o6zs7O3HZZZfhwgsvRF1dHb7//e/j1ltvxeHDh5d5pRRewFJWBXfccQf7ta99jfz3c889x+bm5rIMwwRxVcvHiy++yGZmZrIRERFsTU0N+9lnn5H/d8EFF7Dbt28n/+1yudhHH32UzcvLY2UyGZuRkcHeeeed7Pj4+MovfJkBwL777rvzfs2PfvQjds2aNT6PXXPNNey2bduWcWUUvkD7FFYJtbW1WL9+Pbq7u5GWloZ169bh6quvxkMPPRTspVFWEIFAgHfffZeYF/rj/PPPR1VVFXbv3k0e+/3vf4/vf//7mJycXP5FUoIKlY9WCZWVlSgvL8cbb7yBkydPoqGhATfffHOwl7VqCCVdf2hoyG9J79TUFGw224qsgRI8aFBYRdx66614/fXX8fvf/x5bt25FRkZGsJe0aqC6PiVUoCWpq4jrr78eP/zhD/Hqq6/ijTfeCPZyVhVf+9rX8LWvfW3BX79nzx7k5OTgueeeA3B6CNEnn3yCF154Adu2bVuuZQIAkpOT/Zb0KpVKyOXyZf3ZlOBDM4VVRExMDK688kpERUXNqylTgs+JEyd8rDoAYNu2bXNadSwlGzdu9CnpBYB//OMfc5b0UsILGhRWGf39/bjhhhsglUqDvRTKPCylrm+xWFBXV4e6ujoAp6Wpuro69PT0AADuv/9+3HTTTeTrb7/9dnR0dOBHP/oRDAYDXnnlFfzpT3/CPffcs7gXRQkJqHy0ShgfH8exY8dw7NgxvPLKK8FeDmUF+fLLL3HhhReS/961axcAYPv27Xj99dcxODhIAgQA5OTkYP/+/bjnnnvwi1/8Aunp6fjtb3+77LIVhR/QoLBKqKysxPj4OJ566ikUFRUFezmUM7CUuv6WLVvm7cz2V9W0ZcsW1NbWBvRzKOEBDQqrhK6urmAvgRIAGzduxIEDB3weo7o+ZSWgdwoUygpAdX1KqEA7mimUFeDYsWM+uj4Hp+vffPPN6OrqwrFjx3y+55577kFjYyPS09Px0EMP0YZDyrJDgwKFQqFQCFQ+olAoFAqBBgUKhUKhEGhQoFAoFAqBBgUKhUKhEGhQoFAoFAqBBgUKhUKhEGhQoFAoFAqBBgUKhUKhEGhQoFAoFAqBBgUKhUKhEGhQoFAoFArh/wfOJfGchfG3qAAAAABJRU5ErkJggg=="
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 创建一个新的图形窗口\n",
    "fig = plt.figure()\n",
    "# 在图形窗口中添加一个3D坐标轴子图\n",
    "ax = fig.add_subplot(projection='3d')\n",
    "# 设置坐标轴的标签\n",
    "ax.set_xlabel('x')\n",
    "ax.set_ylabel('y')\n",
    "ax.set_zlabel('z')\n",
    "# 设置投影类型为正交投影 (orthographic projection)\n",
    "ax.set_proj_type('ortho')\n",
    "# 设置观察者的仰角为30度，方位角为30度，即改变三维图形的视角\n",
    "ax.view_init(elev=30, azim=30)\n",
    "# 设置三个坐标轴的比例一致，使得图形在三个方向上等比例显示\n",
    "ax.set_box_aspect([1, 1, 1])\n",
    "# 显示图形\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-07-10T14:43:28.132909Z",
     "end_time": "2024-07-10T14:43:28.257566Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "outputs": [],
   "source": [],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-07-10T14:43:28.257566Z",
     "end_time": "2024-07-10T14:43:28.261580Z"
    }
   }
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
